Atkin-Lehner |
2- 3- 7- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41538n |
Isogeny class |
Conductor |
41538 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-282624552 = -1 · 23 · 36 · 72 · 23 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 -4 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,147,441] |
[a1,a2,a3,a4,a6] |
Generators |
[0:21:1] |
Generators of the group modulo torsion |
j |
351148691375/282624552 |
j-invariant |
L |
11.416073777687 |
L(r)(E,1)/r! |
Ω |
1.1185467049354 |
Real period |
R |
0.28350462174877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124614g1 |
Quadratic twists by: -3 |