Atkin-Lehner |
2+ 3- 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
59598g |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
2433028752 = 24 · 38 · 72 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39123,-2968731] |
[a1,a2,a3,a4,a6] |
Generators |
[975:29262:1] |
Generators of the group modulo torsion |
j |
9084454976569393/3337488 |
j-invariant |
L |
4.0018173302577 |
L(r)(E,1)/r! |
Ω |
0.33946187562741 |
Real period |
R |
5.8943545914466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999517 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19866p1 |
Quadratic twists by: -3 |