Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
69360dh |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
9694080 |
Modular degree for the optimal curve |
Δ |
-6.748758034573E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -5 1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-243869856,1465754472180] |
[a1,a2,a3,a4,a6] |
j |
-56136684668636449/2361960 |
j-invariant |
L |
2.9053918991056 |
L(r)(E,1)/r! |
Ω |
0.14526959575148 |
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 |
8670o1 69360cp1 |
Quadratic twists by: -4 17 |