Atkin-Lehner |
2- 5+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
107300h |
Isogeny class |
Conductor |
107300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
1210334611250000 = 24 · 57 · 294 · 372 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 0 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-50033,-3952438] |
[a1,a2,a3,a4,a6] |
Generators |
[2251:106227:1] |
Generators of the group modulo torsion |
j |
55406665744384/4841338445 |
j-invariant |
L |
11.482605275821 |
L(r)(E,1)/r! |
Ω |
0.32099564042725 |
Real period |
R |
2.9809868191741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985271 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21460c1 |
Quadratic twists by: 5 |