Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230cr |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7983360 |
Modular degree for the optimal curve |
Δ |
-2.8101729382515E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -7 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8639604,10103812560] |
[a1,a2,a3,a4,a6] |
Generators |
[271:88082:1] |
Generators of the group modulo torsion |
j |
-456390127585249/17983078400 |
j-invariant |
L |
4.9362575494965 |
L(r)(E,1)/r! |
Ω |
0.1422089821897 |
Real period |
R |
5.7852153853698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470y1 76230er1 |
Quadratic twists by: -3 -11 |