Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3234o |
Isogeny class |
Conductor |
3234 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
25514863860777984 = 210 · 36 · 710 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-282462,-57291440] |
[a1,a2,a3,a4,a6] |
j |
21184262604460873/216872764416 |
j-invariant |
L |
1.2433101855684 |
L(r)(E,1)/r! |
Ω |
0.2072183642614 |
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 |
25872bo2 103488s2 9702bv2 80850ek2 |
Quadratic twists by: -4 8 -3 5 |