Atkin-Lehner |
3+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
115311j |
Isogeny class |
Conductor |
115311 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5437440 |
Modular degree for the optimal curve |
Δ |
-5.4418029765733E+21 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 0 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7851269,-9184568254] |
[a1,a2,a3,a4,a6] |
Generators |
[4657577726088141490287377330009605295410:1922515366783281381286456093627990893582521:27263067242110746263356134301861625] |
Generators of the group modulo torsion |
j |
-2217429186346572913/225449504735679 |
j-invariant |
L |
2.9107845644407 |
L(r)(E,1)/r! |
Ω |
0.044837455924212 |
Real period |
R |
64.918592215682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000162527 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6783c1 |
Quadratic twists by: 17 |