Atkin-Lehner |
2- 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
24850x |
Isogeny class |
Conductor |
24850 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-371972631564800 = -1 · 29 · 52 · 78 · 712 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- -3 -4 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-105600,13267107] |
[a1,a2,a3,a4,a6] |
Generators |
[145:921:1] |
Generators of the group modulo torsion |
j |
-5209206843643545465/14878905262592 |
j-invariant |
L |
4.2178787453784 |
L(r)(E,1)/r! |
Ω |
0.53809197790994 |
Real period |
R |
0.054434605649493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24850k1 |
Quadratic twists by: 5 |