Atkin-Lehner |
2+ 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920bg |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
79346777247360000 = 210 · 314 · 54 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-978267,-372174374] |
[a1,a2,a3,a4,a6] |
Generators |
[-573:490:1] |
Generators of the group modulo torsion |
j |
138697437757771876/106292300625 |
j-invariant |
L |
5.9253372048784 |
L(r)(E,1)/r! |
Ω |
0.15181167884361 |
Real period |
R |
2.4394274270821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058931 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57960y2 38640q2 |
Quadratic twists by: -4 -3 |