Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
14352l |
Isogeny class |
Conductor |
14352 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
47959174224 = 24 · 33 · 136 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -4 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-939,-3744] |
[a1,a2,a3,a4,a6] |
Generators |
[36:102:1] |
Generators of the group modulo torsion |
j |
5728790382592/2997448389 |
j-invariant |
L |
4.3837191853603 |
L(r)(E,1)/r! |
Ω |
0.91380006967833 |
Real period |
R |
3.1981606851218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7176a1 57408cr1 43056c1 |
Quadratic twists by: -4 8 -3 |