Atkin-Lehner |
2- 3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
122892h |
Isogeny class |
Conductor |
122892 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
14548281749982288 = 24 · 34 · 79 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 2 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-189793,31354786] |
[a1,a2,a3,a4,a6] |
j |
1171019776000/22532499 |
j-invariant |
L |
2.3713468225495 |
L(r)(E,1)/r! |
Ω |
0.39522450453177 |
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 |
122892v1 |
Quadratic twists by: -7 |