Atkin-Lehner |
2- 3+ 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
78384o |
Isogeny class |
Conductor |
78384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-145347142680576 = -1 · 216 · 310 · 232 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 4 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7336,524784] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:608:1] |
Generators of the group modulo torsion |
j |
10658167234343/35485142256 |
j-invariant |
L |
4.5402041151005 |
L(r)(E,1)/r! |
Ω |
0.4104970358449 |
Real period |
R |
2.7650651031142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000252 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9798f1 |
Quadratic twists by: -4 |