Atkin-Lehner |
2- 3+ 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
110838bs |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
987282955311744 = 27 · 3 · 79 · 133 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -3 13+ -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-185088632,969132535097] |
[a1,a2,a3,a4,a6] |
Generators |
[7853:-4123:1] [5389:355397:1] |
Generators of the group modulo torsion |
j |
5960390431020838621741297/8391766656 |
j-invariant |
L |
11.647111852098 |
L(r)(E,1)/r! |
Ω |
0.22277089880267 |
Real period |
R |
1.8672469460692 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15834w2 |
Quadratic twists by: -7 |