Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290cv |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-3.6811460728577E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-173053,-293179323] |
[a1,a2,a3,a4,a6] |
Generators |
[807:9200:1] [6558:82627:8] |
Generators of the group modulo torsion |
j |
-2749884201/176619520 |
j-invariant |
L |
13.176683917738 |
L(r)(E,1)/r! |
Ω |
0.090489856594761 |
Real period |
R |
2.2752349706646 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999917 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470ba1 5390d1 |
Quadratic twists by: -7 -11 |