Atkin-Lehner |
5- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
67915n |
Isogeny class |
Conductor |
67915 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3217600 |
Modular degree for the optimal curve |
Δ |
-5633860096955 = -1 · 5 · 173 · 475 |
Discriminant |
Eigenvalues |
-2 1 5- 0 4 -5 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-20940560,36876386926] |
[a1,a2,a3,a4,a6] |
j |
-206700650510757328719872/1146725035 |
j-invariant |
L |
0.73741577465904 |
L(r)(E,1)/r! |
Ω |
0.36870787121235 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67915a1 |
Quadratic twists by: 17 |