Atkin-Lehner |
2+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
109520g |
Isogeny class |
Conductor |
109520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
259343360 = 210 · 5 · 373 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 4 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-160,-48] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:260:27] |
Generators of the group modulo torsion |
j |
8788/5 |
j-invariant |
L |
10.765408882586 |
L(r)(E,1)/r! |
Ω |
1.4500822505165 |
Real period |
R |
3.7119993996184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962446 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54760b1 109520e1 |
Quadratic twists by: -4 37 |