Atkin-Lehner |
5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
6325c |
Isogeny class |
Conductor |
6325 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
432 |
Modular degree for the optimal curve |
Δ |
765325 = 52 · 113 · 23 |
Discriminant |
Eigenvalues |
0 -1 5+ 1 11- -2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-23,18] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:5:1] |
Generators of the group modulo torsion |
j |
56197120/30613 |
j-invariant |
L |
2.552771457391 |
L(r)(E,1)/r! |
Ω |
2.4739687186957 |
Real period |
R |
0.34395092092309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101200q1 56925i1 6325f1 69575j1 |
Quadratic twists by: -4 -3 5 -11 |