Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576co |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
303105146093568 = 220 · 33 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44312,-3506028] |
[a1,a2,a3,a4,a6] |
j |
19968681097/628992 |
j-invariant |
L |
3.9562826251759 |
L(r)(E,1)/r! |
Ω |
0.32969021876453 |
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 |
3822d1 122304gg1 91728el1 4368t1 |
Quadratic twists by: -4 8 -3 -7 |