Atkin-Lehner |
2+ 7- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
65758f |
Isogeny class |
Conductor |
65758 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
14729792 = 26 · 73 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 11+ 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-116,-496] |
[a1,a2,a3,a4,a6] |
Generators |
[-141:103:27] |
Generators of the group modulo torsion |
j |
510082399/42944 |
j-invariant |
L |
6.0406396137302 |
L(r)(E,1)/r! |
Ω |
1.460897468233 |
Real period |
R |
4.134882662562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65758c1 |
Quadratic twists by: -7 |