Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13680l |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
53187840000 = 211 · 37 · 54 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21963,1252762] |
[a1,a2,a3,a4,a6] |
Generators |
[87:22:1] |
Generators of the group modulo torsion |
j |
784767874322/35625 |
j-invariant |
L |
4.6868694355001 |
L(r)(E,1)/r! |
Ω |
1.0553232238609 |
Real period |
R |
2.2205848073508 |
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 |
6840m3 54720ei4 4560j3 68400bw4 |
Quadratic twists by: -4 8 -3 5 |