Atkin-Lehner |
2- 3+ 7+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
59598n |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
70253705214 = 2 · 39 · 73 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 11- 1 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2972,61777] |
[a1,a2,a3,a4,a6] |
j |
147449000187/3569258 |
j-invariant |
L |
4.3743036417662 |
L(r)(E,1)/r! |
Ω |
1.0935759112421 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59598a1 |
Quadratic twists by: -3 |