Atkin-Lehner |
2- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
114950dd |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
120384 |
Modular degree for the optimal curve |
Δ |
-32369920000 = -1 · 211 · 54 · 113 · 19 |
Discriminant |
Eigenvalues |
2- -2 5- -1 11+ -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,212,8592] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:407:8] [32:-236:1] |
Generators of the group modulo torsion |
j |
1266325/38912 |
j-invariant |
L |
12.240767245093 |
L(r)(E,1)/r! |
Ω |
0.88055249044287 |
Real period |
R |
0.21062477514774 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114950f1 114950bi1 |
Quadratic twists by: 5 -11 |