Atkin-Lehner |
2- 5+ 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
68150l |
Isogeny class |
Conductor |
68150 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
19353600 |
Modular degree for the optimal curve |
Δ |
4.2634347167969E+25 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 -3 -5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-114586313,352374407031] |
[a1,a2,a3,a4,a6] |
j |
10648830710801882307420361/2728598218750000000000 |
j-invariant |
L |
2.4055676940398 |
L(r)(E,1)/r! |
Ω |
0.06013919274983 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13630f1 |
Quadratic twists by: 5 |