Atkin-Lehner |
2+ 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
34914s |
Isogeny class |
Conductor |
34914 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
-2.3816231970659E+21 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 11- -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2492372,1794455402] |
[a1,a2,a3,a4,a6] |
Generators |
[-548:16526:1] [-416:26393:1] |
Generators of the group modulo torsion |
j |
11566328890520951/16088147361792 |
j-invariant |
L |
5.7480074175654 |
L(r)(E,1)/r! |
Ω |
0.098172171431196 |
Real period |
R |
1.2197973497668 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104742bx1 1518g1 |
Quadratic twists by: -3 -23 |