Atkin-Lehner |
2- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
77924r |
Isogeny class |
Conductor |
77924 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1094400 |
Modular degree for the optimal curve |
Δ |
-1081674830038351472 = -1 · 24 · 72 · 118 · 235 |
Discriminant |
Eigenvalues |
2- -1 2 7- 11- -3 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-443142,124228513] |
[a1,a2,a3,a4,a6] |
j |
-339529363149568/38161077647 |
j-invariant |
L |
3.2208844387581 |
L(r)(E,1)/r! |
Ω |
0.26840703714173 |
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 |
7084a1 |
Quadratic twists by: -11 |