Atkin-Lehner |
2+ 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
34914p |
Isogeny class |
Conductor |
34914 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
12838616170908264 = 23 · 34 · 11 · 239 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 11- -1 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-97083,-10295810] |
[a1,a2,a3,a4,a6] |
j |
56181887/7128 |
j-invariant |
L |
2.1817919512229 |
L(r)(E,1)/r! |
Ω |
0.27272399390383 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104742br1 34914m1 |
Quadratic twists by: -3 -23 |