Atkin-Lehner |
2+ 3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
34632a |
Isogeny class |
Conductor |
34632 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
-4551475968 = -1 · 28 · 33 · 13 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 -1 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7596,254836] |
[a1,a2,a3,a4,a6] |
Generators |
[78:370:1] [50:-6:1] |
Generators of the group modulo torsion |
j |
-7012531915776/658489 |
j-invariant |
L |
7.0581666907653 |
L(r)(E,1)/r! |
Ω |
1.3169785013919 |
Real period |
R |
0.22330681819867 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69264b1 34632h1 |
Quadratic twists by: -4 -3 |