Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3234o |
Isogeny class |
Conductor |
3234 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1078405366100832 = 25 · 312 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4508222,-3684683824] |
[a1,a2,a3,a4,a6] |
j |
86129359107301290313/9166294368 |
j-invariant |
L |
1.2433101855684 |
L(r)(E,1)/r! |
Ω |
0.1036091821307 |
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 |
25872bo4 103488s4 9702bv3 80850ek4 |
Quadratic twists by: -4 8 -3 5 |