Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33840cw |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
11227299840 = 216 · 36 · 5 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -5 -1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1587,23794] |
[a1,a2,a3,a4,a6] |
Generators |
[15:58:1] |
Generators of the group modulo torsion |
j |
148035889/3760 |
j-invariant |
L |
6.4099216972237 |
L(r)(E,1)/r! |
Ω |
1.2734360284238 |
Real period |
R |
2.5167819796797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4230l1 3760e1 |
Quadratic twists by: -4 -3 |