Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34848by |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
24 |
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] |
Generators |
[242:-4356:1] [-28:684:1] |
Generators of the group modulo torsion |
j |
704 |
j-invariant |
L |
8.06121635124 |
L(r)(E,1)/r! |
Ω |
0.34685918706298 |
Real period |
R |
0.96835842083082 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34848bx1 69696fv1 3872e1 34848p1 |
Quadratic twists by: -4 8 -3 -11 |