Atkin-Lehner |
2+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34400d |
Isogeny class |
Conductor |
34400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
-68800 = -1 · 26 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 3 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2,-12] |
[a1,a2,a3,a4,a6] |
Generators |
[2:2:1] |
Generators of the group modulo torsion |
j |
320/43 |
j-invariant |
L |
3.4666247565053 |
L(r)(E,1)/r! |
Ω |
1.6419476013755 |
Real period |
R |
1.0556441489366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34400bf1 68800bh1 34400bo1 |
Quadratic twists by: -4 8 5 |