Atkin-Lehner |
2- 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
31262i |
Isogeny class |
Conductor |
31262 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
-8935429888 = -1 · 28 · 73 · 112 · 292 |
Discriminant |
Eigenvalues |
2- -2 -4 7- 11+ -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1065,14041] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:-149:1] [-24:173:1] |
Generators of the group modulo torsion |
j |
-389496807127/26050816 |
j-invariant |
L |
6.9893223232152 |
L(r)(E,1)/r! |
Ω |
1.27996682673 |
Real period |
R |
0.34128434899902 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31262h1 |
Quadratic twists by: -7 |