Atkin-Lehner |
2- 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
104370dn |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-11097921642097500 = -1 · 22 · 312 · 54 · 76 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,55614,459360] |
[a1,a2,a3,a4,a6] |
Generators |
[48:1776:1] |
Generators of the group modulo torsion |
j |
161691571344239/94330777500 |
j-invariant |
L |
10.480088113269 |
L(r)(E,1)/r! |
Ω |
0.24419435226569 |
Real period |
R |
1.7882081779395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007436 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2130l4 |
Quadratic twists by: -7 |