Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230ex |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
deg |
383201280 |
Modular degree for the optimal curve |
Δ |
-2.8276145789837E+32 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -1 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30851659697,-2237170598217079] |
[a1,a2,a3,a4,a6] |
j |
-20782141595587068688417129/1809469231117340625000 |
j-invariant |
L |
4.8967785846135 |
L(r)(E,1)/r! |
Ω |
0.0056675678479629 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410ba1 76230bq1 |
Quadratic twists by: -3 -11 |