Atkin-Lehner |
2+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
24850b |
Isogeny class |
Conductor |
24850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
99749888000000 = 218 · 56 · 73 · 71 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -6 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16950,-707500] |
[a1,a2,a3,a4,a6] |
Generators |
[-1802163:5924212:35937] |
Generators of the group modulo torsion |
j |
34470916278625/6383992832 |
j-invariant |
L |
4.919332878656 |
L(r)(E,1)/r! |
Ω |
0.42376228175478 |
Real period |
R |
11.608708680455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
994g1 |
Quadratic twists by: 5 |