Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850eq |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
396000 |
Modular degree for the optimal curve |
Δ |
-8050579891200 = -1 · 210 · 35 · 52 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- -4 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-44248,-3603559] |
[a1,a2,a3,a4,a6] |
j |
-3257444411545/2737152 |
j-invariant |
L |
1.6457891758656 |
L(r)(E,1)/r! |
Ω |
0.16457892169217 |
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 |
80850dh2 1650s1 |
Quadratic twists by: 5 -7 |