Atkin-Lehner |
2+ 3- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
114840n |
Isogeny class |
Conductor |
114840 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
6395152500000000 = 28 · 36 · 510 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-177807,28600706] |
[a1,a2,a3,a4,a6] |
Generators |
[287:1100:1] |
Generators of the group modulo torsion |
j |
3331215909793744/34267578125 |
j-invariant |
L |
7.2932075996911 |
L(r)(E,1)/r! |
Ω |
0.42494092439271 |
Real period |
R |
0.85814370985106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999632166 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12760g2 |
Quadratic twists by: -3 |