Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230eh |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-45190320103272960 = -1 · 29 · 311 · 5 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-290687,-61111641] |
[a1,a2,a3,a4,a6] |
Generators |
[899:19638:1] |
Generators of the group modulo torsion |
j |
-30795427858316209/512309629440 |
j-invariant |
L |
11.413484388012 |
L(r)(E,1)/r! |
Ω |
0.10270327072145 |
Real period |
R |
3.0869633535189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410d1 76230ch1 |
Quadratic twists by: -3 -11 |