Atkin-Lehner |
2+ 3- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
67158x |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3483648 |
Modular degree for the optimal curve |
Δ |
8.1351359765137E+20 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 3 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2767338,-1120258188] |
[a1,a2,a3,a4,a6] |
Generators |
[-1148:23870:1] |
Generators of the group modulo torsion |
j |
3215014175651328584353/1115930860975816704 |
j-invariant |
L |
6.6367646821983 |
L(r)(E,1)/r! |
Ω |
0.12037578375696 |
Real period |
R |
1.1486191538468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997518 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22386bc1 |
Quadratic twists by: -3 |