Atkin-Lehner |
7- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
34447f |
Isogeny class |
Conductor |
34447 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-15059087412019 = -1 · 77 · 192 · 373 |
Discriminant |
Eigenvalues |
2 -2 3 7- -5 -3 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,4786,-134865] |
[a1,a2,a3,a4,a6] |
j |
103029788672/128000131 |
j-invariant |
L |
1.5005787749197 |
L(r)(E,1)/r! |
Ω |
0.37514469372903 |
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 |
4921d1 |
Quadratic twists by: -7 |