Atkin-Lehner |
3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
67335g |
Isogeny class |
Conductor |
67335 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73920 |
Modular degree for the optimal curve |
Δ |
-1356875732535 = -1 · 3 · 5 · 676 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-94,-56053] |
[a1,a2,a3,a4,a6] |
Generators |
[5129588072030813273309384038263:-80057219602926536427573184373908:22363127807051073824647462961] |
Generators of the group modulo torsion |
j |
-1/15 |
j-invariant |
L |
9.5665733896831 |
L(r)(E,1)/r! |
Ω |
0.39002405067183 |
Real period |
R |
49.05632549055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000244 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15a8 |
Quadratic twists by: -67 |