Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
109520s |
Isogeny class |
Conductor |
109520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
31107277498941440 = 216 · 5 · 377 |
Discriminant |
Eigenvalues |
2- 0 5- 0 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-113627,-12055414] |
[a1,a2,a3,a4,a6] |
Generators |
[177415:74728234:1] |
Generators of the group modulo torsion |
j |
15438249/2960 |
j-invariant |
L |
7.2519484829006 |
L(r)(E,1)/r! |
Ω |
0.26349587492038 |
Real period |
R |
6.8805142484772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940457 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13690k1 2960e1 |
Quadratic twists by: -4 37 |