Atkin-Lehner |
2- 3- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
50592h |
Isogeny class |
Conductor |
50592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
-200749056 = -1 · 212 · 3 · 17 · 312 |
Discriminant |
Eigenvalues |
2- 3- 1 4 -3 -3 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,115,-453] |
[a1,a2,a3,a4,a6] |
Generators |
[21:108:1] |
Generators of the group modulo torsion |
j |
40707584/49011 |
j-invariant |
L |
8.7660576668502 |
L(r)(E,1)/r! |
Ω |
0.95800567644591 |
Real period |
R |
2.2875797822462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999897 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50592c1 101184y1 |
Quadratic twists by: -4 8 |