Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57960o |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
17279964822758400 = 210 · 312 · 52 · 74 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81723,-6392122] |
[a1,a2,a3,a4,a6] |
Generators |
[334:1890:1] |
Generators of the group modulo torsion |
j |
80859142234084/23148101025 |
j-invariant |
L |
6.5260858718233 |
L(r)(E,1)/r! |
Ω |
0.28852340843999 |
Real period |
R |
2.8273641241159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998412 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
115920r2 19320s2 |
Quadratic twists by: -4 -3 |