Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520dg |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
325453145702400 = 218 · 310 · 52 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-250572,48269936] |
[a1,a2,a3,a4,a6] |
Generators |
[-443:8505:1] [205:2349:1] |
Generators of the group modulo torsion |
j |
9104453457841/1703025 |
j-invariant |
L |
10.134223197851 |
L(r)(E,1)/r! |
Ω |
0.52612788082331 |
Real period |
R |
4.815475271121 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996481 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
83520gl2 1305c2 27840i2 |
Quadratic twists by: -4 8 -3 |