Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150bz |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-8122500000 = -1 · 25 · 32 · 57 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 1 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,287,4031] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-78:1] |
Generators of the group modulo torsion |
j |
463391/1440 |
j-invariant |
L |
7.0924767768073 |
L(r)(E,1)/r! |
Ω |
0.92558279065222 |
Real period |
R |
0.19156786536087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10830m1 54150s1 |
Quadratic twists by: 5 -19 |