Atkin-Lehner |
2- 5- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
56560q |
Isogeny class |
Conductor |
56560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-72396800 = -1 · 212 · 52 · 7 · 101 |
Discriminant |
Eigenvalues |
2- -3 5- 7+ 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-187,1066] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-10:1] [-3:40:1] |
Generators of the group modulo torsion |
j |
-176558481/17675 |
j-invariant |
L |
6.2733073290653 |
L(r)(E,1)/r! |
Ω |
1.8959270375365 |
Real period |
R |
0.4136042160944 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3535c1 |
Quadratic twists by: -4 |