Atkin-Lehner |
2- 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
46640p |
Isogeny class |
Conductor |
46640 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-82905750983475200 = -1 · 216 · 52 · 112 · 535 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 11- -3 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1062176,421931776] |
[a1,a2,a3,a4,a6] |
Generators |
[570:1166:1] [146:16430:1] |
Generators of the group modulo torsion |
j |
-32355910526720313889/20240661861200 |
j-invariant |
L |
6.4741904669679 |
L(r)(E,1)/r! |
Ω |
0.33809354729577 |
Real period |
R |
0.47872774552722 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5830e1 |
Quadratic twists by: -4 |