Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230eq |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
-26471735547780600 = -1 · 23 · 36 · 52 · 7 · 1110 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -5 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-463937,121996361] |
[a1,a2,a3,a4,a6] |
Generators |
[481:2914:1] |
Generators of the group modulo torsion |
j |
-584043889/1400 |
j-invariant |
L |
10.077747796662 |
L(r)(E,1)/r! |
Ω |
0.37677226744886 |
Real period |
R |
4.4579306319015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002773 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470c1 76230cp1 |
Quadratic twists by: -3 -11 |