Atkin-Lehner |
11- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
52877a |
Isogeny class |
Conductor |
52877 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
114400 |
Modular degree for the optimal curve |
Δ |
-9419352634219 = -1 · 116 · 19 · 234 |
Discriminant |
Eigenvalues |
0 2 -1 5 11- 0 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2259,-142517] |
[a1,a2,a3,a4,a6] |
Generators |
[14695:164537:125] |
Generators of the group modulo torsion |
j |
719323136/5316979 |
j-invariant |
L |
8.5581770629957 |
L(r)(E,1)/r! |
Ω |
0.36231337779283 |
Real period |
R |
5.9052312083535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
437a1 |
Quadratic twists by: -11 |