Atkin-Lehner |
5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
7475b |
Isogeny class |
Conductor |
7475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
583984375 = 59 · 13 · 23 |
Discriminant |
Eigenvalues |
-1 -1 5+ -1 -6 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-313,1656] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:55:1] [20:52:1] |
Generators of the group modulo torsion |
j |
217081801/37375 |
j-invariant |
L |
3.0294680243747 |
L(r)(E,1)/r! |
Ω |
1.5575568254325 |
Real period |
R |
0.48625320998043 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119600m1 67275g1 1495d1 97175g1 |
Quadratic twists by: -4 -3 5 13 |