Atkin-Lehner |
2- 3- 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
43290bx |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2150400 |
Modular degree for the optimal curve |
Δ |
-589549411719609120 = -1 · 25 · 320 · 5 · 134 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 5 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8592737,-9692867631] |
[a1,a2,a3,a4,a6] |
j |
-96247774160455664486089/808709755445280 |
j-invariant |
L |
7.9361335812669 |
L(r)(E,1)/r! |
Ω |
0.044089631006471 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14430f1 |
Quadratic twists by: -3 |