Atkin-Lehner |
2- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
99400m |
Isogeny class |
Conductor |
99400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-42362043500000000 = -1 · 28 · 59 · 75 · 712 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -3 -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-80633,-13229363] |
[a1,a2,a3,a4,a6] |
j |
-14494644284416/10590510875 |
j-invariant |
L |
1.098160101544 |
L(r)(E,1)/r! |
Ω |
0.13727002923018 |
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 |
19880e1 |
Quadratic twists by: 5 |