Atkin-Lehner |
2+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
11312a |
Isogeny class |
Conductor |
11312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
3041932544 = 28 · 76 · 101 |
Discriminant |
Eigenvalues |
2+ 0 1 7+ 0 -5 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-572,-4548] |
[a1,a2,a3,a4,a6] |
Generators |
[226:343:8] |
Generators of the group modulo torsion |
j |
80848475136/11882549 |
j-invariant |
L |
4.3302904198182 |
L(r)(E,1)/r! |
Ω |
0.98581765296917 |
Real period |
R |
2.1962938109172 |
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 |
5656f1 45248x1 101808i1 79184i1 |
Quadratic twists by: -4 8 -3 -7 |