Atkin-Lehner |
2+ 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37536h |
Isogeny class |
Conductor |
37536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
1388531712 = 212 · 3 · 173 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 4 -5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-813,8475] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:132:1] |
Generators of the group modulo torsion |
j |
14526784000/338997 |
j-invariant |
L |
8.047571245968 |
L(r)(E,1)/r! |
Ω |
1.5171665904916 |
Real period |
R |
2.6521712567376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37536c1 75072cb1 112608bh1 |
Quadratic twists by: -4 8 -3 |