Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129960bp |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
4740940800 = 210 · 33 · 52 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-627,5054] |
[a1,a2,a3,a4,a6] |
Generators |
[38:190:1] |
Generators of the group modulo torsion |
j |
143748/25 |
j-invariant |
L |
7.6328405316952 |
L(r)(E,1)/r! |
Ω |
1.3076123902031 |
Real period |
R |
1.4593086950566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129960a1 129960g1 |
Quadratic twists by: -3 -19 |