Atkin-Lehner |
3- 7+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
31059i |
Isogeny class |
Conductor |
31059 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-18121156137 = -1 · 37 · 75 · 17 · 29 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 3 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11277,463810] |
[a1,a2,a3,a4,a6] |
Generators |
[62:-22:1] |
Generators of the group modulo torsion |
j |
-217569787548625/24857553 |
j-invariant |
L |
5.9963566002253 |
L(r)(E,1)/r! |
Ω |
1.1786310774801 |
Real period |
R |
1.2718900584747 |
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 |
10353b1 |
Quadratic twists by: -3 |