Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610bf |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
529920 |
Modular degree for the optimal curve |
Δ |
-422879320517400 = -1 · 23 · 33 · 52 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -3 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-508733,139794077] |
[a1,a2,a3,a4,a6] |
Generators |
[-6346:56069:8] |
Generators of the group modulo torsion |
j |
-6886621107/200 |
j-invariant |
L |
6.9147341793022 |
L(r)(E,1)/r! |
Ω |
0.49375316407337 |
Real period |
R |
3.5011087940311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
47610i2 47610bj1 |
Quadratic twists by: -3 -23 |