Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
66600bn |
Isogeny class |
Conductor |
66600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-364135500000000000 = -1 · 211 · 39 · 512 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 3 3 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75675,-30118250] |
[a1,a2,a3,a4,a6] |
Generators |
[21010:1069875:8] |
Generators of the group modulo torsion |
j |
-2054487458/15609375 |
j-invariant |
L |
5.9065242689122 |
L(r)(E,1)/r! |
Ω |
0.12715843480003 |
Real period |
R |
5.8062647181675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000233 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22200h1 13320h1 |
Quadratic twists by: -3 5 |