Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850fg |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1672704 |
Modular degree for the optimal curve |
Δ |
-2054105459239680000 = -1 · 211 · 311 · 54 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,261512,-45774919] |
[a1,a2,a3,a4,a6] |
Generators |
[181:2653:1] |
Generators of the group modulo torsion |
j |
26898633480575/27935373312 |
j-invariant |
L |
8.3666227066664 |
L(r)(E,1)/r! |
Ω |
0.141848394084 |
Real period |
R |
2.6810386850477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004473 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850cm1 11550cq1 |
Quadratic twists by: 5 -7 |