Atkin-Lehner |
2- 3- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
112338o |
Isogeny class |
Conductor |
112338 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49690368 |
Modular degree for the optimal curve |
Δ |
8.569526759463E+26 |
Discriminant |
Eigenvalues |
2- 3- -2 3 2 2 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-586377446,-5280555673245] |
[a1,a2,a3,a4,a6] |
Generators |
[48228644338363895149176399929100617267429250230493558979612397782134959525056639162075583015130022439192914696042350463394:5578859452865426054236977655488511974359679067578499580643516496510019673467904679500566383843353565575013188273248396248293:1388000810889043257147516285771532298980889212266574563915155479371325256590757947290411055204746832295207604870965368] |
Generators of the group modulo torsion |
j |
20160960812953/774840978 |
j-invariant |
L |
11.656070290285 |
L(r)(E,1)/r! |
Ω |
0.030752611597574 |
Real period |
R |
189.51350283377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37446a1 112338v1 |
Quadratic twists by: -3 -79 |