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 |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
181804860702720 = 218 · 314 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17292,587504] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:1152:1] [4:720:1] |
Generators of the group modulo torsion |
j |
2992209121/951345 |
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 |
83520gl1 1305c1 27840i1 |
Quadratic twists by: -4 8 -3 |