Atkin-Lehner |
2+ 5+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
7670a |
Isogeny class |
Conductor |
7670 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-21359416000000000 = -1 · 212 · 59 · 13 · 593 |
Discriminant |
Eigenvalues |
2+ -2 5+ -1 3 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-117234,16964996] |
[a1,a2,a3,a4,a6] |
j |
-178188280402271090329/21359416000000000 |
j-invariant |
L |
0.74335801679815 |
L(r)(E,1)/r! |
Ω |
0.37167900839907 |
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 |
61360l2 69030bq2 38350r2 99710bc2 |
Quadratic twists by: -4 -3 5 13 |