Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480s |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-696815494103040 = -1 · 238 · 3 · 5 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18465,1601697] |
[a1,a2,a3,a4,a6] |
Generators |
[1114:10465:8] |
Generators of the group modulo torsion |
j |
-2656166199049/2658140160 |
j-invariant |
L |
4.9731043530023 |
L(r)(E,1)/r! |
Ω |
0.4634206907478 |
Real period |
R |
5.3656477281771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12480dg1 390g1 37440bv1 62400cp1 |
Quadratic twists by: -4 8 -3 5 |