Atkin-Lehner |
2- 3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
1302j |
Isogeny class |
Conductor |
1302 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
25625625854976 = 210 · 312 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8757,-204069] |
[a1,a2,a3,a4,a6] |
j |
74266483535212753/25625625854976 |
j-invariant |
L |
2.5370786581051 |
L(r)(E,1)/r! |
Ω |
0.50741573162103 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10416bo2 41664bi2 3906b2 32550v2 |
Quadratic twists by: -4 8 -3 5 |