Atkin-Lehner |
2- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
77924p |
Isogeny class |
Conductor |
77924 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-6454047195904 = -1 · 28 · 77 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 2 3 7- 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1731,-119623] |
[a1,a2,a3,a4,a6] |
j |
1682464768/18941489 |
j-invariant |
L |
5.1791368486079 |
L(r)(E,1)/r! |
Ω |
0.36993834681843 |
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 |
77924d1 |
Quadratic twists by: -11 |