Atkin-Lehner |
2- 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
7770p |
Isogeny class |
Conductor |
7770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5330220 = 22 · 3 · 5 · 74 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11841,-500877] |
[a1,a2,a3,a4,a6] |
j |
183607808836587409/5330220 |
j-invariant |
L |
3.6613585121464 |
L(r)(E,1)/r! |
Ω |
0.4576698140183 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62160ck4 23310bb4 38850bb4 54390dg4 |
Quadratic twists by: -4 -3 5 -7 |