Atkin-Lehner |
2+ 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
105710b |
Isogeny class |
Conductor |
105710 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
999936 |
Modular degree for the optimal curve |
Δ |
-58167168753476200 = -1 · 23 · 52 · 11 · 319 |
Discriminant |
Eigenvalues |
2+ 2 5+ -1 11+ -4 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,25447,11508653] |
[a1,a2,a3,a4,a6] |
j |
68921/2200 |
j-invariant |
L |
1.0614535061406 |
L(r)(E,1)/r! |
Ω |
0.26536329329672 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105710d1 |
Quadratic twists by: -31 |