Atkin-Lehner |
2- 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
80586ba |
Isogeny class |
Conductor |
80586 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-418749998832 = -1 · 24 · 312 · 113 · 37 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 11+ -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3488,-84301] |
[a1,a2,a3,a4,a6] |
Generators |
[702:3875:8] |
Generators of the group modulo torsion |
j |
-4835382371/431568 |
j-invariant |
L |
12.5914341558 |
L(r)(E,1)/r! |
Ω |
0.30905139937952 |
Real period |
R |
5.0927750933962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000863 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26862f1 80586g1 |
Quadratic twists by: -3 -11 |