Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18018w |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
37120 |
Modular degree for the optimal curve |
Δ |
2855240388 = 22 · 33 · 75 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13634,-609315] |
[a1,a2,a3,a4,a6] |
Generators |
[285:4169:1] |
Generators of the group modulo torsion |
j |
10380062146619619/105749644 |
j-invariant |
L |
8.7634402332822 |
L(r)(E,1)/r! |
Ω |
0.44182113434126 |
Real period |
R |
1.9834814480634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18018c1 126126dx1 |
Quadratic twists by: -3 -7 |