Atkin-Lehner |
2+ 3+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
64080a |
Isogeny class |
Conductor |
64080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
-175178700000000 = -1 · 28 · 39 · 58 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -6 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64908,6396732] |
[a1,a2,a3,a4,a6] |
j |
-6001877634048/34765625 |
j-invariant |
L |
2.2962489622146 |
L(r)(E,1)/r! |
Ω |
0.57406224279459 |
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 |
32040f1 64080b1 |
Quadratic twists by: -4 -3 |