Atkin-Lehner |
3- 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
116325r |
Isogeny class |
Conductor |
116325 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
971677265625 = 37 · 57 · 112 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 11+ -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2480,-2478] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:135:1] [-21:210:1] |
Generators of the group modulo torsion |
j |
148035889/85305 |
j-invariant |
L |
6.6104335259422 |
L(r)(E,1)/r! |
Ω |
0.73696493860892 |
Real period |
R |
2.2424518373189 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005218 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38775e1 23265s1 |
Quadratic twists by: -3 5 |