Atkin-Lehner |
2+ 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850p |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
9584640 |
Modular degree for the optimal curve |
Δ |
5.8846004969472E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-90483792,329247247616] |
[a1,a2,a3,a4,a6] |
j |
266394205833287968827/1913399541760000 |
j-invariant |
L |
0.73816088753925 |
L(r)(E,1)/r! |
Ω |
0.092270110872487 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850ed1 11970bk1 |
Quadratic twists by: -3 5 |