Atkin-Lehner |
2+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
11360g |
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] |
Generators |
[-7:44:1] [0:30:1] |
Generators of the group modulo torsion |
j |
11914842304/630125 |
j-invariant |
L |
4.8162299040163 |
L(r)(E,1)/r! |
Ω |
2.0127398228158 |
Real period |
R |
0.79762418858476 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11360n1 22720b2 102240bc1 56800m1 |
Quadratic twists by: -4 8 -3 5 |