Atkin-Lehner |
2- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
11360n |
Isogeny class |
Conductor |
11360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3648 |
Modular degree for the optimal curve |
Δ |
40328000 = 26 · 53 · 712 |
Discriminant |
Eigenvalues |
2- 2 5- 0 4 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-190,-900] |
[a1,a2,a3,a4,a6] |
j |
11914842304/630125 |
j-invariant |
L |
3.8687331777798 |
L(r)(E,1)/r! |
Ω |
1.2895777259266 |
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 |
11360g1 22720h2 102240d1 56800f1 |
Quadratic twists by: -4 8 -3 5 |