Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57960m |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-193499228160 = -1 · 211 · 36 · 5 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1437,-2882] |
[a1,a2,a3,a4,a6] |
Generators |
[66:616:1] |
Generators of the group modulo torsion |
j |
219804478/129605 |
j-invariant |
L |
5.2966095814932 |
L(r)(E,1)/r! |
Ω |
0.59064237492492 |
Real period |
R |
4.4837703883942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999726 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115920u2 6440h2 |
Quadratic twists by: -4 -3 |