Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760w |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
2511000000 = 26 · 34 · 56 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-416,2070] |
[a1,a2,a3,a4,a6] |
j |
124700239936/39234375 |
j-invariant |
L |
2.6754702204625 |
L(r)(E,1)/r! |
Ω |
1.3377351102324 |
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 |
29760i1 14880d2 89280ci1 |
Quadratic twists by: -4 8 -3 |