Atkin-Lehner |
2+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
105800k |
Isogeny class |
Conductor |
105800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
165312500000000 = 28 · 513 · 232 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 5 -2 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-105033,-13122437] |
[a1,a2,a3,a4,a6] |
j |
60560505856/78125 |
j-invariant |
L |
2.1217356748671 |
L(r)(E,1)/r! |
Ω |
0.26521703178536 |
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 |
21160g1 105800m1 |
Quadratic twists by: 5 -23 |