Atkin-Lehner |
2+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
64600l |
Isogeny class |
Conductor |
64600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
130411250000 = 24 · 57 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 -4 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11883,-502262] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:17:1] |
Generators of the group modulo torsion |
j |
742332614656/521645 |
j-invariant |
L |
4.8330358545471 |
L(r)(E,1)/r! |
Ω |
0.45728115490452 |
Real period |
R |
1.3211335636563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000077 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129200k1 12920m1 |
Quadratic twists by: -4 5 |