Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
127400bj |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-342593888000000 = -1 · 211 · 56 · 77 · 13 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10208,978412] |
[a1,a2,a3,a4,a6] |
Generators |
[537:12250:1] |
Generators of the group modulo torsion |
j |
-31250/91 |
j-invariant |
L |
5.360700107499 |
L(r)(E,1)/r! |
Ω |
0.47535397159097 |
Real period |
R |
2.8193201166791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000009122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5096c1 18200p1 |
Quadratic twists by: 5 -7 |