Atkin-Lehner |
2+ 3+ 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
108150t |
Isogeny class |
Conductor |
108150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
114222875976562500 = 22 · 32 · 514 · 72 · 1032 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-239500,41981500] |
[a1,a2,a3,a4,a6] |
Generators |
[490:6280:1] |
Generators of the group modulo torsion |
j |
97235101683760321/7310264062500 |
j-invariant |
L |
4.8449463292886 |
L(r)(E,1)/r! |
Ω |
0.32566923483173 |
Real period |
R |
3.7192231922567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000091902 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21630bd2 |
Quadratic twists by: 5 |