Atkin-Lehner |
2- 3+ 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
113100b |
Isogeny class |
Conductor |
113100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
336739133250000 = 24 · 36 · 56 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 6 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24833,1228662] |
[a1,a2,a3,a4,a6] |
j |
6774679552000/1346956533 |
j-invariant |
L |
1.025100204281 |
L(r)(E,1)/r! |
Ω |
0.51254984101589 |
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 |
4524e1 |
Quadratic twists by: 5 |