Atkin-Lehner |
2+ 3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
107640j |
Isogeny class |
Conductor |
107640 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
71490866542617600 = 210 · 310 · 52 · 132 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-825483,288388982] |
[a1,a2,a3,a4,a6] |
Generators |
[-934:15640:1] [391:5040:1] |
Generators of the group modulo torsion |
j |
83333693055993124/95768586225 |
j-invariant |
L |
10.864835488445 |
L(r)(E,1)/r! |
Ω |
0.34476102014846 |
Real period |
R |
3.9392633063663 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994067 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35880q4 |
Quadratic twists by: -3 |