Atkin-Lehner |
2+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13520j |
Isogeny class |
Conductor |
13520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
67600 = 24 · 52 · 132 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 1 13+ 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-420,-3457] |
[a1,a2,a3,a4,a6] |
j |
3037375744/25 |
j-invariant |
L |
2.1087801594526 |
L(r)(E,1)/r! |
Ω |
1.0543900797263 |
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 |
6760j1 54080cc1 121680w1 67600g1 |
Quadratic twists by: -4 8 -3 5 |