Atkin-Lehner |
2- 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34476a |
Isogeny class |
Conductor |
34476 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-287554867921152 = -1 · 28 · 34 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 4 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8732,-755912] |
[a1,a2,a3,a4,a6] |
j |
59582000/232713 |
j-invariant |
L |
2.2235163124075 |
L(r)(E,1)/r! |
Ω |
0.27793953905279 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103428o2 2652c2 |
Quadratic twists by: -3 13 |