Atkin-Lehner |
2- 3- 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
57720ba |
Isogeny class |
Conductor |
57720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
623376000000 = 210 · 34 · 56 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 6 13+ 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3160,55808] |
[a1,a2,a3,a4,a6] |
Generators |
[11:150:1] |
Generators of the group modulo torsion |
j |
3408964126564/608765625 |
j-invariant |
L |
9.8784250054256 |
L(r)(E,1)/r! |
Ω |
0.86983566264298 |
Real period |
R |
0.94638805824503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000298 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115440p1 |
Quadratic twists by: -4 |