Atkin-Lehner |
2+ 3- 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
61104k |
Isogeny class |
Conductor |
61104 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
983808 |
Modular degree for the optimal curve |
Δ |
-7389924081636528 = -1 · 24 · 37 · 196 · 672 |
Discriminant |
Eigenvalues |
2+ 3- -4 4 -6 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-152455,23231444] |
[a1,a2,a3,a4,a6] |
j |
-24492414183604197376/461870255102283 |
j-invariant |
L |
2.9286819160123 |
L(r)(E,1)/r! |
Ω |
0.41838313116276 |
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 |
30552d1 |
Quadratic twists by: -4 |