Atkin-Lehner |
2- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
97196b |
Isogeny class |
Conductor |
97196 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
953856 |
Modular degree for the optimal curve |
Δ |
-172624735574080768 = -1 · 28 · 113 · 477 |
Discriminant |
Eigenvalues |
2- -2 0 -1 11+ -5 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,25772,19934916] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:4418:1] |
Generators of the group modulo torsion |
j |
686000/62557 |
j-invariant |
L |
1.9028911688638 |
L(r)(E,1)/r! |
Ω |
0.24619444974808 |
Real period |
R |
1.2882034021032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012599 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2068d1 |
Quadratic twists by: -47 |