Atkin-Lehner |
2+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
43400b |
Isogeny class |
Conductor |
43400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-6076000000 = -1 · 28 · 56 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -6 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25,-3750] |
[a1,a2,a3,a4,a6] |
Generators |
[35:200:1] |
Generators of the group modulo torsion |
j |
432/1519 |
j-invariant |
L |
3.778269306119 |
L(r)(E,1)/r! |
Ω |
0.62269341984988 |
Real period |
R |
1.5169059065334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86800q1 1736c1 |
Quadratic twists by: -4 5 |