Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290ej |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
786240 |
Modular degree for the optimal curve |
Δ |
-177542520255013760 = -1 · 27 · 5 · 76 · 119 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11- 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-524840,147527337] |
[a1,a2,a3,a4,a6] |
Generators |
[435:1113:1] |
Generators of the group modulo torsion |
j |
-76711450249/851840 |
j-invariant |
L |
8.1472510098768 |
L(r)(E,1)/r! |
Ω |
0.32207240676323 |
Real period |
R |
0.90344048183871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1210j1 5390s1 |
Quadratic twists by: -7 -11 |