Atkin-Lehner |
2+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24800a |
Isogeny class |
Conductor |
24800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
4805000000 = 26 · 57 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-425,500] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:62:1] |
Generators of the group modulo torsion |
j |
8489664/4805 |
j-invariant |
L |
5.6536297801474 |
L(r)(E,1)/r! |
Ω |
1.1795326158116 |
Real period |
R |
1.1982775432321 |
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 |
24800o1 49600d2 4960f1 |
Quadratic twists by: -4 8 5 |