Atkin-Lehner |
2- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
24700b |
Isogeny class |
Conductor |
24700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-52178750000 = -1 · 24 · 57 · 133 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 -6 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,467,-10438] |
[a1,a2,a3,a4,a6] |
Generators |
[22:100:1] |
Generators of the group modulo torsion |
j |
44957696/208715 |
j-invariant |
L |
3.768088771988 |
L(r)(E,1)/r! |
Ω |
0.56646689224526 |
Real period |
R |
1.6629783768354 |
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 |
98800bi1 4940d1 |
Quadratic twists by: -4 5 |