Atkin-Lehner |
2+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
34814f |
Isogeny class |
Conductor |
34814 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
13236423170048 = 211 · 137 · 103 |
Discriminant |
Eigenvalues |
2+ -2 4 3 5 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5919,8114] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:441:1] |
Generators of the group modulo torsion |
j |
4750104241/2742272 |
j-invariant |
L |
4.7695492613252 |
L(r)(E,1)/r! |
Ω |
0.60186382840031 |
Real period |
R |
1.9811579614289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2678i1 |
Quadratic twists by: 13 |