Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36784r |
Isogeny class |
Conductor |
36784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
-2397033031926016 = -1 · 28 · 1110 · 192 |
Discriminant |
Eigenvalues |
2- 0 -3 0 11- 1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14641,2254714] |
[a1,a2,a3,a4,a6] |
Generators |
[510:11932:1] |
Generators of the group modulo torsion |
j |
52272/361 |
j-invariant |
L |
3.2983228965506 |
L(r)(E,1)/r! |
Ω |
0.3337423013077 |
Real period |
R |
4.9414216951607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9196f1 36784bb1 |
Quadratic twists by: -4 -11 |