Atkin-Lehner |
2+ 3- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
78384g |
Isogeny class |
Conductor |
78384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
3762432 = 28 · 32 · 23 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 4 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-548,-5124] |
[a1,a2,a3,a4,a6] |
Generators |
[59098:39456:2197] |
Generators of the group modulo torsion |
j |
71222578000/14697 |
j-invariant |
L |
7.4932175601291 |
L(r)(E,1)/r! |
Ω |
0.98660604155806 |
Real period |
R |
7.5949439218796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39192f1 |
Quadratic twists by: -4 |