Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080cc |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
39665811456000000 = 220 · 310 · 56 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87852,2937904] |
[a1,a2,a3,a4,a6] |
Generators |
[-172:3600:1] |
Generators of the group modulo torsion |
j |
392383937161/207562500 |
j-invariant |
L |
7.7610232667426 |
L(r)(E,1)/r! |
Ω |
0.31866432200518 |
Real period |
R |
2.0295712214659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025443 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080ff1 3690p1 39360bc1 |
Quadratic twists by: -4 8 -3 |