Atkin-Lehner |
2+ 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650c |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
1.19084679168E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7960900,-6872030000] |
[a1,a2,a3,a4,a6] |
j |
3571003510905229697089/762141946675200000 |
j-invariant |
L |
0.72990215506928 |
L(r)(E,1)/r! |
Ω |
0.09123776938366 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200gf1 40950du1 2730z1 95550dj1 |
Quadratic twists by: -4 -3 5 -7 |