Atkin-Lehner |
3+ 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
110019h |
Isogeny class |
Conductor |
110019 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
9426757977 = 32 · 7 · 136 · 31 |
Discriminant |
Eigenvalues |
-1 3+ -4 7+ -2 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-595,2816] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:87:1] [-8:88:1] |
Generators of the group modulo torsion |
j |
4826809/1953 |
j-invariant |
L |
3.9150691420452 |
L(r)(E,1)/r! |
Ω |
1.1752698574687 |
Real period |
R |
1.6656043379206 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999907815 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
651b1 |
Quadratic twists by: 13 |