Atkin-Lehner |
2- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58016v |
Isogeny class |
Conductor |
58016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
24409189568512 = 212 · 76 · 373 |
Discriminant |
Eigenvalues |
2- -3 -4 7- -3 -6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51352,-4472720] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:76:1] |
Generators of the group modulo torsion |
j |
31077609984/50653 |
j-invariant |
L |
1.8960850842133 |
L(r)(E,1)/r! |
Ω |
0.31717776093673 |
Real period |
R |
2.9889943708352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001188 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58016t1 116032by1 1184f1 |
Quadratic twists by: -4 8 -7 |