Atkin-Lehner |
2- 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34476d |
Isogeny class |
Conductor |
34476 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
35280 |
Modular degree for the optimal curve |
Δ |
-16989910704 = -1 · 24 · 37 · 134 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 3 -4 5 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,451,4926] |
[a1,a2,a3,a4,a6] |
j |
22151168/37179 |
j-invariant |
L |
2.5303725301707 |
L(r)(E,1)/r! |
Ω |
0.84345751005932 |
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 |
103428y1 34476e1 |
Quadratic twists by: -3 13 |