Atkin-Lehner |
2- 5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13340a |
Isogeny class |
Conductor |
13340 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
842400 |
Modular degree for the optimal curve |
Δ |
7.5909654415662E+20 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -4 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7344008,7544771793] |
[a1,a2,a3,a4,a6] |
j |
2737809040961484623314944/47443534009788453125 |
j-invariant |
L |
1.9199590264637 |
L(r)(E,1)/r! |
Ω |
0.15999658553864 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53360k1 120060o1 66700d1 |
Quadratic twists by: -4 -3 5 |