Atkin-Lehner |
5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
2555a |
Isogeny class |
Conductor |
2555 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
400 |
Modular degree for the optimal curve |
Δ |
-186515 = -1 · 5 · 7 · 732 |
Discriminant |
Eigenvalues |
0 -3 5+ 7+ -5 -1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2,-21] |
[a1,a2,a3,a4,a6] |
Generators |
[11:36:1] |
Generators of the group modulo torsion |
j |
884736/186515 |
j-invariant |
L |
1.2135763946214 |
L(r)(E,1)/r! |
Ω |
1.504533073507 |
Real period |
R |
0.40330665240632 |
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 |
40880s1 22995f1 12775f1 17885o1 |
Quadratic twists by: -4 -3 5 -7 |