Atkin-Lehner |
2+ 3- 5- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97110bf |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
4700667816000 = 26 · 38 · 53 · 13 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4734,70740] |
[a1,a2,a3,a4,a6] |
j |
16096540513249/6448104000 |
j-invariant |
L |
4.2059494610114 |
L(r)(E,1)/r! |
Ω |
0.70099161181188 |
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 |
32370bf1 |
Quadratic twists by: -3 |