Atkin-Lehner |
2- 3- 37+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
52614m |
Isogeny class |
Conductor |
52614 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-76711212 = -1 · 22 · 38 · 37 · 79 |
Discriminant |
Eigenvalues |
2- 3- 2 4 3 -4 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14,425] |
[a1,a2,a3,a4,a6] |
j |
-389017/105228 |
j-invariant |
L |
6.2984386875633 |
L(r)(E,1)/r! |
Ω |
1.5746096722012 |
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 |
17538f1 |
Quadratic twists by: -3 |