Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480bj |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-356441280 = -1 · 26 · 3 · 5 · 135 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 1 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-135,-1137] |
[a1,a2,a3,a4,a6] |
j |
-4283098624/5569395 |
j-invariant |
L |
3.337469554508 |
L(r)(E,1)/r! |
Ω |
0.66749391090161 |
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 |
12480p1 6240t1 37440bn1 62400f1 |
Quadratic twists by: -4 8 -3 5 |