Atkin-Lehner |
3+ 5+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
20235f |
Isogeny class |
Conductor |
20235 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-4204124775 = -1 · 38 · 52 · 192 · 71 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 0 -4 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,399,-402] |
[a1,a2,a3,a4,a6] |
Generators |
[6:44:1] |
Generators of the group modulo torsion |
j |
7023836099951/4204124775 |
j-invariant |
L |
1.3897857094039 |
L(r)(E,1)/r! |
Ω |
0.80772952029559 |
Real period |
R |
0.86030389782914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60705k1 101175r1 |
Quadratic twists by: -3 5 |