Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
120600ce |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-395628300000000 = -1 · 28 · 310 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-222375,-40373750] |
[a1,a2,a3,a4,a6] |
j |
-16682228560/5427 |
j-invariant |
L |
0.87938498774849 |
L(r)(E,1)/r! |
Ω |
0.10992325840595 |
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 |
40200p1 120600t1 |
Quadratic twists by: -3 5 |