Atkin-Lehner |
2- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
77924t |
Isogeny class |
Conductor |
77924 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
366336 |
Modular degree for the optimal curve |
Δ |
-51394675704064 = -1 · 28 · 72 · 114 · 234 |
Discriminant |
Eigenvalues |
2- -2 3 7- 11- -5 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-111844,-14438316] |
[a1,a2,a3,a4,a6] |
j |
-41281451743312/13712209 |
j-invariant |
L |
1.5663493652189 |
L(r)(E,1)/r! |
Ω |
0.13052911970622 |
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 |
77924g1 |
Quadratic twists by: -11 |