Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712bq |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
143284520484864 = 217 · 312 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11+ 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29676,1881520] |
[a1,a2,a3,a4,a6] |
Generators |
[182:-1584:1] |
Generators of the group modulo torsion |
j |
30248395634/1499553 |
j-invariant |
L |
4.5813247540383 |
L(r)(E,1)/r! |
Ω |
0.57338001618032 |
Real period |
R |
0.99875401362191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712fd2 13464u2 35904bj2 |
Quadratic twists by: -4 8 -3 |