Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129960n |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-7296307891200 = -1 · 210 · 37 · 52 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 2 1 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1083,-130682] |
[a1,a2,a3,a4,a6] |
j |
-1444/75 |
j-invariant |
L |
2.6116790921738 |
L(r)(E,1)/r! |
Ω |
0.3264599598986 |
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 |
43320bd1 129960cm1 |
Quadratic twists by: -3 -19 |