Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
22932f |
Isogeny class |
Conductor |
22932 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-1451594774448 = -1 · 24 · 33 · 76 · 134 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -4 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8232,293265] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:686:1] [-66:741:1] |
Generators of the group modulo torsion |
j |
-1213857792/28561 |
j-invariant |
L |
6.2619874794617 |
L(r)(E,1)/r! |
Ω |
0.8503301254022 |
Real period |
R |
0.30684099878766 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91728dc1 22932e1 468a1 |
Quadratic twists by: -4 -3 -7 |