Atkin-Lehner |
2+ 5+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
67450c |
Isogeny class |
Conductor |
67450 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
114192 |
Modular degree for the optimal curve |
Δ |
-99735347200 = -1 · 213 · 52 · 193 · 71 |
Discriminant |
Eigenvalues |
2+ -2 5+ -3 6 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-571,-16122] |
[a1,a2,a3,a4,a6] |
j |
-821482331665/3989413888 |
j-invariant |
L |
1.3247499156854 |
L(r)(E,1)/r! |
Ω |
0.44158331096848 |
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 |
67450t1 |
Quadratic twists by: 5 |