Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121520da |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-1529712581017600 = -1 · 224 · 52 · 76 · 31 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-83120,9386068] |
[a1,a2,a3,a4,a6] |
Generators |
[156:-490:1] |
Generators of the group modulo torsion |
j |
-131794519969/3174400 |
j-invariant |
L |
5.7580779931068 |
L(r)(E,1)/r! |
Ω |
0.4759777759484 |
Real period |
R |
1.5121709303866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999005103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15190bd1 2480i1 |
Quadratic twists by: -4 -7 |