Atkin-Lehner |
2- 3+ 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
61104n |
Isogeny class |
Conductor |
61104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-5746162477824 = -1 · 28 · 36 · 193 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 3 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2651,-103559] |
[a1,a2,a3,a4,a6] |
j |
8045426966528/22445947179 |
j-invariant |
L |
3.1201814481451 |
L(r)(E,1)/r! |
Ω |
0.39002268078428 |
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 |
15276b1 |
Quadratic twists by: -4 |