Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966di |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
5419008 |
Modular degree for the optimal curve |
Δ |
-1.2017602592295E+21 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -2 0 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6259457,-6256828033] |
[a1,a2,a3,a4,a6] |
Generators |
[7413:591922:1] |
Generators of the group modulo torsion |
j |
-3977954113/176256 |
j-invariant |
L |
6.0833567204016 |
L(r)(E,1)/r! |
Ω |
0.047600542989278 |
Real period |
R |
4.5642912154328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966do1 4998bn1 |
Quadratic twists by: -7 17 |