Atkin-Lehner |
3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
78141c |
Isogeny class |
Conductor |
78141 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
357120 |
Modular degree for the optimal curve |
Δ |
-593978396007969 = -1 · 33 · 7 · 617 |
Discriminant |
Eigenvalues |
-1 3+ 3 7- -4 -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,12946,-1021012] |
[a1,a2,a3,a4,a6] |
j |
4657463/11529 |
j-invariant |
L |
0.5326389630986 |
L(r)(E,1)/r! |
Ω |
0.26631946464604 |
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 |
1281b1 |
Quadratic twists by: 61 |