Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400ci |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
24536630970000 = 24 · 317 · 54 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -4 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17175,832925] |
[a1,a2,a3,a4,a6] |
Generators |
[44:403:1] |
Generators of the group modulo torsion |
j |
76857529600/3365793 |
j-invariant |
L |
6.0051648150733 |
L(r)(E,1)/r! |
Ω |
0.66570048030744 |
Real period |
R |
4.5104104565796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000693 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34200bn1 22800j1 68400bh1 |
Quadratic twists by: -4 -3 5 |