Atkin-Lehner |
2- 3+ 5- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
110550bu |
Isogeny class |
Conductor |
110550 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
1951488 |
Modular degree for the optimal curve |
Δ |
-150034405061376000 = -1 · 211 · 311 · 53 · 11 · 673 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- 5 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,132827,-293269] |
[a1,a2,a3,a4,a6] |
Generators |
[55:2652:1] |
Generators of the group modulo torsion |
j |
2073349834530510619/1200275240491008 |
j-invariant |
L |
7.6279644349077 |
L(r)(E,1)/r! |
Ω |
0.19375460906025 |
Real period |
R |
0.59650306761917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003541 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110550bb1 |
Quadratic twists by: 5 |