Atkin-Lehner |
2- 3+ 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
105270bh |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
163968 |
Modular degree for the optimal curve |
Δ |
-1846178204310 = -1 · 2 · 314 · 5 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11+ -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1609,61139] |
[a1,a2,a3,a4,a6] |
Generators |
[2118:33929:8] |
Generators of the group modulo torsion |
j |
346096270261/1387061010 |
j-invariant |
L |
7.6765047805426 |
L(r)(E,1)/r! |
Ω |
0.59510763115142 |
Real period |
R |
3.2248388323258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999832481 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105270a1 |
Quadratic twists by: -11 |