Atkin-Lehner |
2+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
64600i |
Isogeny class |
Conductor |
64600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9408 |
Modular degree for the optimal curve |
Δ |
-2067200 = -1 · 28 · 52 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 2 -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-153,683] |
[a1,a2,a3,a4,a6] |
Generators |
[7:2:1] |
Generators of the group modulo torsion |
j |
-62295040/323 |
j-invariant |
L |
5.9134090381584 |
L(r)(E,1)/r! |
Ω |
2.6278124580345 |
Real period |
R |
0.56257905885356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000371 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129200j1 64600z1 |
Quadratic twists by: -4 5 |