Atkin-Lehner |
2+ 3- 5+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
122550z |
Isogeny class |
Conductor |
122550 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
8515584 |
Modular degree for the optimal curve |
Δ |
1.1329265221632E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 2 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4135626,-2803286852] |
[a1,a2,a3,a4,a6] |
j |
500642029281144301201/72507297418444800 |
j-invariant |
L |
1.9240377821531 |
L(r)(E,1)/r! |
Ω |
0.10689104799568 |
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 |
24510l1 |
Quadratic twists by: 5 |