Atkin-Lehner |
2+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
24206a |
Isogeny class |
Conductor |
24206 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
173376 |
Modular degree for the optimal curve |
Δ |
-4517295734620396 = -1 · 22 · 78 · 134 · 193 |
Discriminant |
Eigenvalues |
2+ 0 -3 7+ -5 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9154,3213776] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:986:1] [-53:1632:1] |
Generators of the group modulo torsion |
j |
14714497287/783599596 |
j-invariant |
L |
4.7141154634348 |
L(r)(E,1)/r! |
Ω |
0.33109569020982 |
Real period |
R |
0.39549790478739 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24206f1 |
Quadratic twists by: -7 |