Atkin-Lehner |
2+ 3+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320i |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-56970475200 = -1 · 26 · 312 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 6 -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,955,1407] |
[a1,a2,a3,a4,a6] |
j |
1503484706816/890163675 |
j-invariant |
L |
2.7172451506633 |
L(r)(E,1)/r! |
Ω |
0.67931128802768 |
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 |
64320cw1 1005b1 |
Quadratic twists by: -4 8 |