Atkin-Lehner |
2- 7+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
59024m |
Isogeny class |
Conductor |
59024 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5935104 |
Modular degree for the optimal curve |
Δ |
-1.2653054105722E+23 |
Discriminant |
Eigenvalues |
2- 2 2 7+ 2 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44592912,115901965760] |
[a1,a2,a3,a4,a6] |
Generators |
[2242212543929727240:-16677273368470862430208:40530337875] |
Generators of the group modulo torsion |
j |
-2394204674724255511761553/30891245375296897024 |
j-invariant |
L |
10.3662079362 |
L(r)(E,1)/r! |
Ω |
0.1046891208437 |
Real period |
R |
24.754740159847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7378r1 |
Quadratic twists by: -4 |