Atkin-Lehner |
3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
58989o |
Isogeny class |
Conductor |
58989 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4850560 |
Modular degree for the optimal curve |
Δ |
-4.4921892616809E+21 |
Discriminant |
Eigenvalues |
2 3- -3 7+ 3 4 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3523422,-4109557975] |
[a1,a2,a3,a4,a6] |
Generators |
[8985750490822309394562:525104948677443568542863:2032447117804860392] |
Generators of the group modulo torsion |
j |
-1466003456/1361367 |
j-invariant |
L |
12.719222114089 |
L(r)(E,1)/r! |
Ω |
0.053068076511243 |
Real period |
R |
29.95968327445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58989f1 |
Quadratic twists by: 53 |