Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
113568da |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
2952768 = 26 · 3 · 7 · 133 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-82,248] |
[a1,a2,a3,a4,a6] |
Generators |
[183:190:27] |
Generators of the group modulo torsion |
j |
438976/21 |
j-invariant |
L |
10.273102407521 |
L(r)(E,1)/r! |
Ω |
2.5074203600147 |
Real period |
R |
4.0970802276044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027462 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113568l1 113568bk1 |
Quadratic twists by: -4 13 |