Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480n |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-3744000000000000 = -1 · 217 · 32 · 512 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-865,2944225] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:1680:1] |
Generators of the group modulo torsion |
j |
-546718898/28564453125 |
j-invariant |
L |
4.3756574770999 |
L(r)(E,1)/r! |
Ω |
0.35289265526928 |
Real period |
R |
2.0665668023803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12480db4 1560c4 37440bi3 62400bz3 |
Quadratic twists by: -4 8 -3 5 |