Atkin-Lehner |
2- 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
234d |
Isogeny class |
Conductor |
234 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
528708092292432 = 24 · 326 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 4 4 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21056,404115] |
[a1,a2,a3,a4,a6] |
j |
1416134368422073/725251155408 |
j-invariant |
L |
1.8375079963278 |
L(r)(E,1)/r! |
Ω |
0.45937699908195 |
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 |
1872r3 7488o4 78a3 5850m4 |
Quadratic twists by: -4 8 -3 5 |