Atkin-Lehner |
2- 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
30690br |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1.193303670249E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2780582,-1859730069] |
[a1,a2,a3,a4,a6] |
Generators |
[56492566:2602338279:17576] |
Generators of the group modulo torsion |
j |
-3261393178646318563609/163690489746093750 |
j-invariant |
L |
9.0108652248571 |
L(r)(E,1)/r! |
Ω |
0.058286432299617 |
Real period |
R |
6.4415113927781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230b4 |
Quadratic twists by: -3 |