Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
29280k |
Isogeny class |
Conductor |
29280 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-4743360000000 = -1 · 212 · 35 · 57 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 0 -2 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23501,-1398501] |
[a1,a2,a3,a4,a6] |
j |
-350462271384064/1158046875 |
j-invariant |
L |
1.9275715580732 |
L(r)(E,1)/r! |
Ω |
0.19275715580722 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29280a1 58560cw1 87840bl1 |
Quadratic twists by: -4 8 -3 |