Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3234b |
Isogeny class |
Conductor |
3234 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
30065437248 = 26 · 3 · 76 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3945,93381] |
[a1,a2,a3,a4,a6] |
j |
57736239625/255552 |
j-invariant |
L |
1.1819101597483 |
L(r)(E,1)/r! |
Ω |
1.1819101597483 |
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 |
25872cw3 103488ds3 9702ca3 80850gb3 |
Quadratic twists by: -4 8 -3 5 |