Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360gd |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
11520000 |
Modular degree for the optimal curve |
Δ |
-8.1860188219996E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 6 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7009221,8362172979] |
[a1,a2,a3,a4,a6] |
j |
-79028701534867456/16987307596875 |
j-invariant |
L |
2.5072460558148 |
L(r)(E,1)/r! |
Ω |
0.12536224298434 |
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 |
8085j1 18480cb1 |
Quadratic twists by: -4 -7 |