Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800ce |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-150908652224000000 = -1 · 212 · 56 · 119 |
Discriminant |
Eigenvalues |
2- -3 5+ 0 11- -6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24200,18634000] |
[a1,a2,a3,a4,a6] |
Generators |
[176:-5324:1] |
Generators of the group modulo torsion |
j |
13824/1331 |
j-invariant |
L |
1.8322422542794 |
L(r)(E,1)/r! |
Ω |
0.24913408954974 |
Real period |
R |
0.91930526965709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96800cd1 3872f1 8800d1 |
Quadratic twists by: -4 5 -11 |