Atkin-Lehner |
2+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
13400f |
Isogeny class |
Conductor |
13400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-167500000000 = -1 · 28 · 510 · 67 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 4 6 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1367,2637] |
[a1,a2,a3,a4,a6] |
j |
70575104/41875 |
j-invariant |
L |
4.9719892603452 |
L(r)(E,1)/r! |
Ω |
0.62149865754314 |
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 |
26800e1 107200g1 120600bx1 2680g1 |
Quadratic twists by: -4 8 -3 5 |