Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67518by |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
262509984 = 25 · 37 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 11- -5 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1112,14523] |
[a1,a2,a3,a4,a6] |
Generators |
[17:9:1] |
Generators of the group modulo torsion |
j |
1722499009/2976 |
j-invariant |
L |
8.19839156934 |
L(r)(E,1)/r! |
Ω |
1.7460454519614 |
Real period |
R |
0.23477027933615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994244 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22506h1 67518u1 |
Quadratic twists by: -3 -11 |