Atkin-Lehner |
7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58121b |
Isogeny class |
Conductor |
58121 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
7574386841 = 7 · 196 · 23 |
Discriminant |
Eigenvalues |
1 0 2 7- 4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1331,18552] |
[a1,a2,a3,a4,a6] |
Generators |
[146020:2439:8000] |
Generators of the group modulo torsion |
j |
5545233/161 |
j-invariant |
L |
7.8355557870859 |
L(r)(E,1)/r! |
Ω |
1.3137362091471 |
Real period |
R |
5.9643296214465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
161a2 |
Quadratic twists by: -19 |