Atkin-Lehner |
2- 3+ 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
11310j |
Isogeny class |
Conductor |
11310 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
32242728960 = 216 · 32 · 5 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10335,400005] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:890:1] |
Generators of the group modulo torsion |
j |
122083727651299441/32242728960 |
j-invariant |
L |
6.0189813289774 |
L(r)(E,1)/r! |
Ω |
1.1414780727608 |
Real period |
R |
1.318242871372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90480cb1 33930j1 56550w1 |
Quadratic twists by: -4 -3 5 |