Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360ed |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-12584272342950000 = -1 · 24 · 34 · 55 · 710 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32814,-4899285] |
[a1,a2,a3,a4,a6] |
j |
864545024/2784375 |
j-invariant |
L |
0.40859121769171 |
L(r)(E,1)/r! |
Ω |
0.20429569546569 |
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 |
32340ba1 129360hc1 |
Quadratic twists by: -4 -7 |