Atkin-Lehner |
2- 3+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78120x |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-7819637011200 = -1 · 28 · 33 · 52 · 72 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6327,-235846] |
[a1,a2,a3,a4,a6] |
j |
-4052411004528/1131313225 |
j-invariant |
L |
4.2212381894303 |
L(r)(E,1)/r! |
Ω |
0.26382738618892 |
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 |
78120a2 |
Quadratic twists by: -3 |