Atkin-Lehner |
2+ 3- 5+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
101970l |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-41297850 = -1 · 2 · 36 · 52 · 11 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11+ 5 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-180,1026] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:21:1] [3:21:1] |
Generators of the group modulo torsion |
j |
-887503681/56650 |
j-invariant |
L |
7.4089867944894 |
L(r)(E,1)/r! |
Ω |
2.0053110729003 |
Real period |
R |
0.92367050862584 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11330k1 |
Quadratic twists by: -3 |