Atkin-Lehner |
2- 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
78320bh |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
8.1643838144E+22 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 11- -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-880016736,-10048396951436] |
[a1,a2,a3,a4,a6] |
j |
18400793829905200527581279329/19932577671875000000 |
j-invariant |
L |
1.1087581901828 |
L(r)(E,1)/r! |
Ω |
0.027718954780099 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790i2 |
Quadratic twists by: -4 |