Atkin-Lehner |
2- 3- 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
11310n |
Isogeny class |
Conductor |
11310 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
Δ |
17510434929000000 = 26 · 36 · 56 · 134 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-261595,-51124975] |
[a1,a2,a3,a4,a6] |
Generators |
[-310:605:1] |
Generators of the group modulo torsion |
j |
1979758117698975186481/17510434929000000 |
j-invariant |
L |
8.4179185149427 |
L(r)(E,1)/r! |
Ω |
0.21121461251519 |
Real period |
R |
0.7380520601771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90480bg2 33930g2 56550i2 |
Quadratic twists by: -4 -3 5 |