Atkin-Lehner |
2+ 3- 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446q |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
312480 |
Modular degree for the optimal curve |
Δ |
952566066963126 = 2 · 33 · 78 · 115 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 11+ -4 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-42754,-3065002] |
[a1,a2,a3,a4,a6] |
j |
1499184379609/165238326 |
j-invariant |
L |
1.0031694776402 |
L(r)(E,1)/r! |
Ω |
0.33438982598422 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61446g1 |
Quadratic twists by: -7 |