Atkin-Lehner |
3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
105903i |
Isogeny class |
Conductor |
105903 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
281600 |
Modular degree for the optimal curve |
Δ |
-218158037476407 = -1 · 38 · 7 · 416 |
Discriminant |
Eigenvalues |
1 3- 2 7- 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,14814,149215] |
[a1,a2,a3,a4,a6] |
Generators |
[1528701343504767910:29377579764507589597:29179708917439625] |
Generators of the group modulo torsion |
j |
103823/63 |
j-invariant |
L |
10.070175598931 |
L(r)(E,1)/r! |
Ω |
0.34461629149274 |
Real period |
R |
29.221414815045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932466 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35301e1 63a1 |
Quadratic twists by: -3 41 |