Atkin-Lehner |
2+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
124384a |
Isogeny class |
Conductor |
124384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
2124413791552 = 26 · 137 · 232 |
Discriminant |
Eigenvalues |
2+ 0 0 -4 -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4225,-79092] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:138:1] |
Generators of the group modulo torsion |
j |
27000000/6877 |
j-invariant |
L |
2.5525215610119 |
L(r)(E,1)/r! |
Ω |
0.60328100007061 |
Real period |
R |
2.1155329117381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997636084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124384m1 9568i1 |
Quadratic twists by: -4 13 |