Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520dg |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-760294709821440000 = -1 · 218 · 38 · 54 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-224652,58648304] |
[a1,a2,a3,a4,a6] |
Generators |
[-562:2720:1] [-50:8352:1] |
Generators of the group modulo torsion |
j |
-6561258219361/3978455625 |
j-invariant |
L |
10.134223197851 |
L(r)(E,1)/r! |
Ω |
0.26306394041165 |
Real period |
R |
1.2038688177803 |
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 |
83520gl3 1305c4 27840i3 |
Quadratic twists by: -4 8 -3 |