Atkin-Lehner |
2- 3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
1302j |
Isogeny class |
Conductor |
1302 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-1961190701324064 = -1 · 25 · 324 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,25963,-1384549] |
[a1,a2,a3,a4,a6] |
j |
1935473755102091567/1961190701324064 |
j-invariant |
L |
2.5370786581051 |
L(r)(E,1)/r! |
Ω |
0.25370786581051 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10416bo4 41664bi3 3906b4 32550v3 |
Quadratic twists by: -4 8 -3 5 |