Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34848bx |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-640072188923904 = -1 · 212 · 36 · 118 |
Discriminant |
Eigenvalues |
2- 3- -1 2 11- 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15972,-937024] |
[a1,a2,a3,a4,a6] |
j |
704 |
j-invariant |
L |
2.1774633909057 |
L(r)(E,1)/r! |
Ω |
0.27218292386273 |
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 |
34848by1 69696fr1 3872d1 34848q1 |
Quadratic twists by: -4 8 -3 -11 |