Atkin-Lehner |
2+ 3- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
7254f |
Isogeny class |
Conductor |
7254 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
31200 |
Modular degree for the optimal curve |
Δ |
-8323723702944 = -1 · 25 · 36 · 135 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 -2 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-126945,-17377763] |
[a1,a2,a3,a4,a6] |
j |
-310345110881179921/11418002336 |
j-invariant |
L |
1.2646330863647 |
L(r)(E,1)/r! |
Ω |
0.12646330863647 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58032bi1 806f1 94302bx1 |
Quadratic twists by: -4 -3 13 |