Atkin-Lehner |
2+ 5+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
57950k |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
29082240 |
Modular degree for the optimal curve |
Δ |
7.1059057927914E+24 |
Discriminant |
Eigenvalues |
2+ 1 5+ 0 4 0 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3397871901,76235348315448] |
[a1,a2,a3,a4,a6] |
j |
277667271080679643206964659649/454777970738646976000 |
j-invariant |
L |
2.8013278346307 |
L(r)(E,1)/r! |
Ω |
0.063666541674106 |
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 |
11590k1 |
Quadratic twists by: 5 |