Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520dg |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
249389383680 = 218 · 38 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4008972,3089567216] |
[a1,a2,a3,a4,a6] |
Generators |
[430:38016:1] [1006:8640:1] |
Generators of the group modulo torsion |
j |
37286818682653441/1305 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
83520gl4 1305c3 27840i4 |
Quadratic twists by: -4 8 -3 |