Atkin-Lehner |
2- 3- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
14508h |
Isogeny class |
Conductor |
14508 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-61107696 = -1 · 24 · 36 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 -2 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,51,349] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:9:1] [-3:13:1] |
Generators of the group modulo torsion |
j |
1257728/5239 |
j-invariant |
L |
5.5387785400811 |
L(r)(E,1)/r! |
Ω |
1.4079683215801 |
Real period |
R |
0.32782334038739 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58032br1 1612c1 |
Quadratic twists by: -4 -3 |