Atkin-Lehner |
2- 5- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
89300k |
Isogeny class |
Conductor |
89300 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
51579680000 = 28 · 54 · 193 · 47 |
Discriminant |
Eigenvalues |
2- -2 5- -4 -6 1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-933,-1337] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:70:1] [-22:95:1] |
Generators of the group modulo torsion |
j |
561971200/322373 |
j-invariant |
L |
5.8927746111843 |
L(r)(E,1)/r! |
Ω |
0.93761718136443 |
Real period |
R |
0.23277187732356 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89300h1 |
Quadratic twists by: 5 |