Atkin-Lehner |
2+ 3+ 11+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
59202a |
Isogeny class |
Conductor |
59202 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
7142227792128 = 28 · 33 · 112 · 135 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64581792,199778318080] |
[a1,a2,a3,a4,a6] |
Generators |
[4715:6515:1] |
Generators of the group modulo torsion |
j |
1103291383394147814780046875/264526955264 |
j-invariant |
L |
5.8104720098813 |
L(r)(E,1)/r! |
Ω |
0.30485618202879 |
Real period |
R |
1.9059715210597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000383 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59202t1 |
Quadratic twists by: -3 |