Atkin-Lehner |
3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113715bk |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
2.6402112456505E+19 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21755372,39061565894] |
[a1,a2,a3,a4,a6] |
Generators |
[-4878:173011:1] |
Generators of the group modulo torsion |
j |
33202753467020929/769820625 |
j-invariant |
L |
4.4234147842494 |
L(r)(E,1)/r! |
Ω |
0.19558732752349 |
Real period |
R |
1.4135037610909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003398 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37905o1 5985q1 |
Quadratic twists by: -3 -19 |