Atkin-Lehner |
2- 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78988g |
Isogeny class |
Conductor |
78988 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
1174320 |
Modular degree for the optimal curve |
Δ |
832336271727530752 = 28 · 710 · 135 · 31 |
Discriminant |
Eigenvalues |
2- -1 -2 7- -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-874764,-311543000] |
[a1,a2,a3,a4,a6] |
j |
1023709063888/11510083 |
j-invariant |
L |
0.78107339450861 |
L(r)(E,1)/r! |
Ω |
0.15621469142709 |
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 |
78988b1 |
Quadratic twists by: -7 |