Atkin-Lehner |
2+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
94192f |
Isogeny class |
Conductor |
94192 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
39360 |
Modular degree for the optimal curve |
Δ |
-10139580416 = -1 · 211 · 7 · 294 |
Discriminant |
Eigenvalues |
2+ -1 1 7+ -4 -5 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-280,5264] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-58:1] [16:68:1] |
Generators of the group modulo torsion |
j |
-1682/7 |
j-invariant |
L |
9.1260832384592 |
L(r)(E,1)/r! |
Ω |
1.1220826677739 |
Real period |
R |
0.67776373197112 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000627 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47096f1 94192b1 |
Quadratic twists by: -4 29 |