Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020cz |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-104012863242750000 = -1 · 24 · 38 · 56 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24108,15449749] |
[a1,a2,a3,a4,a6] |
j |
1129201664/75796875 |
j-invariant |
L |
3.0694280356981 |
L(r)(E,1)/r! |
Ω |
0.25578566463044 |
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 |
32340bc1 13860l1 |
Quadratic twists by: -3 -7 |