Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600bi |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-4569760000000000000 = -1 · 217 · 513 · 134 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 3 13+ 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-350675,-130256750] |
[a1,a2,a3,a4,a6] |
j |
-2609064081/2500000 |
j-invariant |
L |
0.75521248509793 |
L(r)(E,1)/r! |
Ω |
0.094401560371396 |
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 |
8450a1 13520w1 67600bh1 |
Quadratic twists by: -4 5 13 |