Atkin-Lehner |
5+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
19525a |
Isogeny class |
Conductor |
19525 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
85680 |
Modular degree for the optimal curve |
Δ |
2615848219703125 = 56 · 119 · 71 |
Discriminant |
Eigenvalues |
0 0 5+ 3 11+ -7 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-34450,43406] |
[a1,a2,a3,a4,a6] |
j |
289381900713984/167414286061 |
j-invariant |
L |
0.38582785297644 |
L(r)(E,1)/r! |
Ω |
0.38582785297644 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
781a1 |
Quadratic twists by: 5 |