Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230cu |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4118400 |
Modular degree for the optimal curve |
Δ |
-1.3728665602848E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2742442,-350322299] |
[a1,a2,a3,a4,a6] |
Generators |
[594292:57859499:64] |
Generators of the group modulo torsion |
j |
4468050477/2689120 |
j-invariant |
L |
9.1568035627168 |
L(r)(E,1)/r! |
Ω |
0.088503141645538 |
Real period |
R |
10.346303410263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000496 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76230j1 76230c1 |
Quadratic twists by: -3 -11 |