Atkin-Lehner |
2- 23+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
18952b |
Isogeny class |
Conductor |
18952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7616 |
Modular degree for the optimal curve |
Δ |
-41418724208 = -1 · 24 · 23 · 1034 |
Discriminant |
Eigenvalues |
2- -1 -2 0 -2 -1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,856,1465] |
[a1,a2,a3,a4,a6] |
Generators |
[60:515:1] |
Generators of the group modulo torsion |
j |
4330295875328/2588670263 |
j-invariant |
L |
2.9261466134139 |
L(r)(E,1)/r! |
Ω |
0.70031170773332 |
Real period |
R |
0.52229360531557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37904b1 |
Quadratic twists by: -4 |