Atkin-Lehner |
2- 3- 7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
67158ca |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1056000 |
Modular degree for the optimal curve |
Δ |
12238065874944 = 211 · 36 · 7 · 134 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3023654,-2022944331] |
[a1,a2,a3,a4,a6] |
Generators |
[-64236:32255:64] |
Generators of the group modulo torsion |
j |
4193651411483568183577/16787470336 |
j-invariant |
L |
7.6652305794423 |
L(r)(E,1)/r! |
Ω |
0.11448973305891 |
Real period |
R |
3.0432385725075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999767 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7462f1 |
Quadratic twists by: -3 |