Atkin-Lehner |
2- 3+ 5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
126480v |
Isogeny class |
Conductor |
126480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-30591047761920 = -1 · 216 · 311 · 5 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 5 -7 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2024,-264464] |
[a1,a2,a3,a4,a6] |
j |
223759095911/7468517520 |
j-invariant |
L |
0.63619107561255 |
L(r)(E,1)/r! |
Ω |
0.3180959491623 |
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 |
15810f1 |
Quadratic twists by: -4 |