Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9240a |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
646652160 = 28 · 38 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-236,756] |
[a1,a2,a3,a4,a6] |
j |
5702413264/2525985 |
j-invariant |
L |
1.4562081958759 |
L(r)(E,1)/r! |
Ω |
1.4562081958759 |
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 |
18480u1 73920dt1 27720br1 46200ck1 |
Quadratic twists by: -4 8 -3 5 |