Atkin-Lehner |
2+ 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72842d |
Isogeny class |
Conductor |
72842 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-32963198903140352 = -1 · 214 · 74 · 117 · 43 |
Discriminant |
Eigenvalues |
2+ -1 0 7+ 11- 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16095,8763781] |
[a1,a2,a3,a4,a6] |
Generators |
[127:-3028:1] [-18:3017:1] |
Generators of the group modulo torsion |
j |
-260305116625/18606866432 |
j-invariant |
L |
6.5894779096503 |
L(r)(E,1)/r! |
Ω |
0.30448616424447 |
Real period |
R |
1.3525815544558 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6622i1 |
Quadratic twists by: -11 |