Atkin-Lehner |
2- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
128440w |
Isogeny class |
Conductor |
128440 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1123200 |
Modular degree for the optimal curve |
Δ |
-1695082646067200 = -1 · 211 · 52 · 136 · 193 |
Discriminant |
Eigenvalues |
2- 3 5+ 1 -4 13+ -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11323,2034422] |
[a1,a2,a3,a4,a6] |
Generators |
[3342:42940:27] |
Generators of the group modulo torsion |
j |
-16241202/171475 |
j-invariant |
L |
11.669870553127 |
L(r)(E,1)/r! |
Ω |
0.40258036949251 |
Real period |
R |
4.8312798332874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026296 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
760c1 |
Quadratic twists by: 13 |