Atkin-Lehner |
2- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7514f |
Isogeny class |
Conductor |
7514 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
5130585888766208 = 28 · 132 · 179 |
Discriminant |
Eigenvalues |
2- 0 4 2 2 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49618,-2481711] |
[a1,a2,a3,a4,a6] |
j |
559679941521/212556032 |
j-invariant |
L |
5.2841535492675 |
L(r)(E,1)/r! |
Ω |
0.33025959682922 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60112o1 67626m1 97682c1 442b1 |
Quadratic twists by: -4 -3 13 17 |