Atkin-Lehner |
2+ 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
127600g |
Isogeny class |
Conductor |
127600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
185856 |
Modular degree for the optimal curve |
Δ |
-51040000000 = -1 · 211 · 57 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5+ -5 11+ -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,11188] |
[a1,a2,a3,a4,a6] |
Generators |
[18:100:1] [-22:100:1] |
Generators of the group modulo torsion |
j |
-235298/1595 |
j-invariant |
L |
6.0744957581043 |
L(r)(E,1)/r! |
Ω |
0.96841263826766 |
Real period |
R |
0.39203947772385 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987855 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63800d1 25520d1 |
Quadratic twists by: -4 5 |