Atkin-Lehner |
3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
40293l |
Isogeny class |
Conductor |
40293 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
58344648435513 = 37 · 117 · 372 |
Discriminant |
Eigenvalues |
-1 3- 0 0 11- -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14180,-532474] |
[a1,a2,a3,a4,a6] |
j |
244140625/45177 |
j-invariant |
L |
0.88618843454453 |
L(r)(E,1)/r! |
Ω |
0.44309421723909 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13431e1 3663c1 |
Quadratic twists by: -3 -11 |