Atkin-Lehner |
2- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
11774g |
Isogeny class |
Conductor |
11774 |
Conductor |
∏ cp |
37 |
Product of Tamagawa factors cp |
deg |
2446440 |
Modular degree for the optimal curve |
Δ |
-4.8127340432837E+23 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 2 -7 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-45768499,-123783309711] |
[a1,a2,a3,a4,a6] |
Generators |
[9827:607918:1] |
Generators of the group modulo torsion |
j |
-21195308337309457/962072674304 |
j-invariant |
L |
6.4745128898299 |
L(r)(E,1)/r! |
Ω |
0.028945276314901 |
Real period |
R |
6.0454366700995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94192bi1 105966t1 82418t1 11774a1 |
Quadratic twists by: -4 -3 -7 29 |