Atkin-Lehner |
2- 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
99400n |
Isogeny class |
Conductor |
99400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2490344738000000000 = 210 · 59 · 72 · 714 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3308675,-2315239250] |
[a1,a2,a3,a4,a6] |
Generators |
[44299:9315768:1] |
Generators of the group modulo torsion |
j |
250360643636559684/155646546125 |
j-invariant |
L |
3.9823443317889 |
L(r)(E,1)/r! |
Ω |
0.11194436401404 |
Real period |
R |
4.4467896725873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19880c3 |
Quadratic twists by: 5 |