Atkin-Lehner |
2- 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
48664i |
Isogeny class |
Conductor |
48664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22016 |
Modular degree for the optimal curve |
Δ |
-5412994048 = -1 · 210 · 7 · 112 · 792 |
Discriminant |
Eigenvalues |
2- 2 0 7- 11+ 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,72,-3556] |
[a1,a2,a3,a4,a6] |
Generators |
[89978:1455168:343] |
Generators of the group modulo torsion |
j |
39753500/5286127 |
j-invariant |
L |
9.3147743115532 |
L(r)(E,1)/r! |
Ω |
0.64182799075326 |
Real period |
R |
7.256441325201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97328b1 |
Quadratic twists by: -4 |