Atkin-Lehner |
2+ 3+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
17346f |
Isogeny class |
Conductor |
17346 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
352786728179088 = 24 · 33 · 712 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-24035,-1123779] |
[a1,a2,a3,a4,a6] |
Generators |
[349:5583:1] |
Generators of the group modulo torsion |
j |
13052571603625/2998637712 |
j-invariant |
L |
3.2185809602453 |
L(r)(E,1)/r! |
Ω |
0.38976520635403 |
Real period |
R |
4.1288715716223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52038bc1 2478b1 |
Quadratic twists by: -3 -7 |