Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
114660b |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
665280 |
Modular degree for the optimal curve |
Δ |
-1888117139301120 = -1 · 28 · 39 · 5 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -5 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74088,8038548] |
[a1,a2,a3,a4,a6] |
Generators |
[-147:3969:1] |
Generators of the group modulo torsion |
j |
-1548288/65 |
j-invariant |
L |
4.643742705877 |
L(r)(E,1)/r! |
Ω |
0.46442141970494 |
Real period |
R |
1.6664974635754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958368 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114660i1 114660k1 |
Quadratic twists by: -3 -7 |