Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
127050hp |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
1664 |
Product of Tamagawa factors cp |
deg |
158146560 |
Modular degree for the optimal curve |
Δ |
-9.9359686031035E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-67505963,-15167235029583] |
[a1,a2,a3,a4,a6] |
j |
-923412886970939/2696845197312000 |
j-invariant |
L |
6.3491314951582 |
L(r)(E,1)/r! |
Ω |
0.015262336104968 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410a1 127050cj1 |
Quadratic twists by: 5 -11 |