Atkin-Lehner |
2+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
5576f |
Isogeny class |
Conductor |
5576 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
9107224248208 = 24 · 173 · 415 |
Discriminant |
Eigenvalues |
2+ -1 2 1 -4 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8572,271637] |
[a1,a2,a3,a4,a6] |
Generators |
[938:28577:1] |
Generators of the group modulo torsion |
j |
4354124870864128/569201515513 |
j-invariant |
L |
3.5984619172907 |
L(r)(E,1)/r! |
Ω |
0.70375770933006 |
Real period |
R |
0.17044037882092 |
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 |
11152g1 44608s1 50184w1 94792b1 |
Quadratic twists by: -4 8 -3 17 |