Atkin-Lehner |
2+ 11+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
93808j |
Isogeny class |
Conductor |
93808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-19512064 = -1 · 28 · 11 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 0 3 -1 11+ 13- -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-191,1038] |
[a1,a2,a3,a4,a6] |
Generators |
[17:52:1] |
Generators of the group modulo torsion |
j |
-3010120272/76219 |
j-invariant |
L |
7.1639049243265 |
L(r)(E,1)/r! |
Ω |
2.1637991977028 |
Real period |
R |
0.82769983172759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958164 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46904j1 |
Quadratic twists by: -4 |