Atkin-Lehner |
2+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
12482b |
Isogeny class |
Conductor |
12482 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8892 |
Modular degree for the optimal curve |
Δ |
3272081408 = 219 · 792 |
Discriminant |
Eigenvalues |
2+ 0 4 -1 0 -4 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-380,848] |
[a1,a2,a3,a4,a6] |
j |
973784889/524288 |
j-invariant |
L |
1.2359780739141 |
L(r)(E,1)/r! |
Ω |
1.2359780739141 |
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 |
99856f1 112338y1 12482a1 |
Quadratic twists by: -4 -3 -79 |