Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
110544bh |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
255360 |
Modular degree for the optimal curve |
Δ |
-665032704 = -1 · 211 · 3 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 5 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44144,-3584652] |
[a1,a2,a3,a4,a6] |
Generators |
[1054533712620:14720459382714:3017196125] |
Generators of the group modulo torsion |
j |
-94803106237826/6627 |
j-invariant |
L |
11.915645559716 |
L(r)(E,1)/r! |
Ω |
0.16468377610633 |
Real period |
R |
18.088675523238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55272v1 110544d1 |
Quadratic twists by: -4 -7 |