Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2730ba |
Isogeny class |
Conductor |
2730 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
22997520 = 24 · 35 · 5 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-29946,-1997100] |
[a1,a2,a3,a4,a6] |
j |
2969894891179808929/22997520 |
j-invariant |
L |
3.6292323573261 |
L(r)(E,1)/r! |
Ω |
0.36292323573261 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21840w1 87360bm1 8190u1 13650b1 |
Quadratic twists by: -4 8 -3 5 |