Atkin-Lehner |
2+ 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
43512n |
Isogeny class |
Conductor |
43512 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-3440064289536 = -1 · 28 · 32 · 79 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 3 -1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9865,-390853] |
[a1,a2,a3,a4,a6] |
j |
-3525581824/114219 |
j-invariant |
L |
3.8250243340398 |
L(r)(E,1)/r! |
Ω |
0.23906402087433 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87024p1 6216f1 |
Quadratic twists by: -4 -7 |