Atkin-Lehner |
3- 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78771t |
Isogeny class |
Conductor |
78771 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30336 |
Modular degree for the optimal curve |
Δ |
2441901 = 3 · 7 · 112 · 312 |
Discriminant |
Eigenvalues |
2 3- 3 7- 11- -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-194,-1105] |
[a1,a2,a3,a4,a6] |
j |
6707802112/20181 |
j-invariant |
L |
10.231310471123 |
L(r)(E,1)/r! |
Ω |
1.2789138074572 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78771o1 |
Quadratic twists by: -11 |