Atkin-Lehner |
3+ 7+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
114807c |
Isogeny class |
Conductor |
114807 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
223488 |
Modular degree for the optimal curve |
Δ |
935825954679 = 32 · 74 · 112 · 713 |
Discriminant |
Eigenvalues |
-1 3+ 1 7+ 11+ 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-45865,3761288] |
[a1,a2,a3,a4,a6] |
Generators |
[-1114:22421:8] [56:1143:1] |
Generators of the group modulo torsion |
j |
4444023403677361/389765079 |
j-invariant |
L |
7.0455461424985 |
L(r)(E,1)/r! |
Ω |
0.84369213154761 |
Real period |
R |
0.23196804588092 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994478 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114807v1 |
Quadratic twists by: -7 |