Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840q |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2303159040000 = 211 · 32 · 54 · 7 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4096,-71020] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:150:1] |
Generators of the group modulo torsion |
j |
3711757787138/1124589375 |
j-invariant |
L |
5.9048814546656 |
L(r)(E,1)/r! |
Ω |
0.61078827059055 |
Real period |
R |
1.2084550692493 |
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 |
10920j4 87360fq3 65520bm3 109200l3 |
Quadratic twists by: -4 8 -3 5 |