Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
3420f |
Isogeny class |
Conductor |
3420 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-315802800 = -1 · 24 · 37 · 52 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,168,169] |
[a1,a2,a3,a4,a6] |
Generators |
[8:45:1] |
Generators of the group modulo torsion |
j |
44957696/27075 |
j-invariant |
L |
3.3828443531902 |
L(r)(E,1)/r! |
Ω |
1.0541413217812 |
Real period |
R |
0.53484991105909 |
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 |
13680bp1 54720ba1 1140d1 17100ba1 |
Quadratic twists by: -4 8 -3 5 |