Atkin-Lehner |
2+ 3- 7+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
66402h |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
244608 |
Modular degree for the optimal curve |
Δ |
-95877127471104 = -1 · 221 · 36 · 7 · 172 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -2 -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1968,-471808] |
[a1,a2,a3,a4,a6] |
j |
-1156633033473/131518693376 |
j-invariant |
L |
0.53228454401824 |
L(r)(E,1)/r! |
Ω |
0.2661422747253 |
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 |
7378n1 |
Quadratic twists by: -3 |