Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520br |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
1558683648000 = 216 · 38 · 53 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43788,-3526288] |
[a1,a2,a3,a4,a6] |
Generators |
[262:1728:1] |
Generators of the group modulo torsion |
j |
194348673796/32625 |
j-invariant |
L |
4.1136825575522 |
L(r)(E,1)/r! |
Ω |
0.3300389160205 |
Real period |
R |
3.1160587096515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005819 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520ff1 10440x1 27840x1 |
Quadratic twists by: -4 8 -3 |