Atkin-Lehner |
2- 7+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
107996b |
Isogeny class |
Conductor |
107996 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
185472 |
Modular degree for the optimal curve |
Δ |
-23581633325824 = -1 · 28 · 78 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -3 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2744,240100] |
[a1,a2,a3,a4,a6] |
Generators |
[-1176:14210:27] [0:490:1] |
Generators of the group modulo torsion |
j |
-1548288/15979 |
j-invariant |
L |
12.695869633467 |
L(r)(E,1)/r! |
Ω |
0.57515663913879 |
Real period |
R |
1.2263200019062 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107996e1 |
Quadratic twists by: -7 |