Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680r |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
401126564966400 = 212 · 316 · 52 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20881,641375] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:1215:1] |
Generators of the group modulo torsion |
j |
245832015985984/97931290275 |
j-invariant |
L |
6.0562359360694 |
L(r)(E,1)/r! |
Ω |
0.4841736746186 |
Real period |
R |
0.78177473465878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680ba3 87360bs1 |
Quadratic twists by: -4 8 |