Atkin-Lehner |
2- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110032p |
Isogeny class |
Conductor |
110032 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
108417486950309888 = 213 · 132 · 238 |
Discriminant |
Eigenvalues |
2- 0 0 0 -2 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15253715,22930390546] |
[a1,a2,a3,a4,a6] |
Generators |
[-2921:206310:1] [7015:511014:1] |
Generators of the group modulo torsion |
j |
647326865237625/178802 |
j-invariant |
L |
11.208482673929 |
L(r)(E,1)/r! |
Ω |
0.26760401902499 |
Real period |
R |
10.471145684927 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999978578 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13754c2 4784e2 |
Quadratic twists by: -4 -23 |