Atkin-Lehner |
2- 3- 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70950bx |
Isogeny class |
Conductor |
70950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
9755625000000 = 26 · 3 · 510 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6463,131417] |
[a1,a2,a3,a4,a6] |
j |
1910778533929/624360000 |
j-invariant |
L |
8.0415165311918 |
L(r)(E,1)/r! |
Ω |
0.67012637748628 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14190c1 |
Quadratic twists by: 5 |