Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480ct |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-6469632000 = -1 · 214 · 35 · 53 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 13- -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-421,-5245] |
[a1,a2,a3,a4,a6] |
j |
-504871936/394875 |
j-invariant |
L |
2.5486230708431 |
L(r)(E,1)/r! |
Ω |
0.50972461416863 |
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 |
12480i1 3120d1 37440fw1 62400ei1 |
Quadratic twists by: -4 8 -3 5 |