Atkin-Lehner |
3+ 11+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
80883c |
Isogeny class |
Conductor |
80883 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115456 |
Modular degree for the optimal curve |
Δ |
13887530217 = 33 · 114 · 19 · 432 |
Discriminant |
Eigenvalues |
1 3+ -2 0 11+ -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17343,883424] |
[a1,a2,a3,a4,a6] |
Generators |
[764:20430:1] |
Generators of the group modulo torsion |
j |
21367155273681771/514352971 |
j-invariant |
L |
5.39723002353 |
L(r)(E,1)/r! |
Ω |
1.1615073749982 |
Real period |
R |
2.3233731197048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80883f1 |
Quadratic twists by: -3 |