Atkin-Lehner |
2- 3- 7+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
76986w |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
58752000 |
Modular degree for the optimal curve |
Δ |
-5.7334660808032E+27 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 1 13+ 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,90469192,3627953996573] |
[a1,a2,a3,a4,a6] |
j |
112330663202886428375054279/7864836873529748172584706 |
j-invariant |
L |
2.0854288674608 |
L(r)(E,1)/r! |
Ω |
0.032584826384611 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25662k1 |
Quadratic twists by: -3 |