Atkin-Lehner |
2- 3- 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
85608p |
Isogeny class |
Conductor |
85608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-232266838914288 = -1 · 24 · 311 · 29 · 414 |
Discriminant |
Eigenvalues |
2- 3- -2 -5 -3 5 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22071,-1459609] |
[a1,a2,a3,a4,a6] |
Generators |
[625:15129:1] |
Generators of the group modulo torsion |
j |
-101939437643008/19913137767 |
j-invariant |
L |
2.1876765735746 |
L(r)(E,1)/r! |
Ω |
0.19380148995942 |
Real period |
R |
1.4110292587449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999625441 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28536c1 |
Quadratic twists by: -3 |