Atkin-Lehner |
2+ 3+ 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
7770c |
Isogeny class |
Conductor |
7770 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
982591926935062500 = 22 · 314 · 56 · 74 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-250728,7679628] |
[a1,a2,a3,a4,a6] |
j |
1743150672675771875209/982591926935062500 |
j-invariant |
L |
0.47961577487544 |
L(r)(E,1)/r! |
Ω |
0.23980788743772 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62160co2 23310bs2 38850co2 54390bg2 |
Quadratic twists by: -4 -3 5 -7 |