Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
4770v |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2289600 = 26 · 33 · 52 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-54272,4879971] |
[a1,a2,a3,a4,a6] |
Generators |
[131:9:1] |
Generators of the group modulo torsion |
j |
654756659970817923/84800 |
j-invariant |
L |
5.5650471269187 |
L(r)(E,1)/r! |
Ω |
1.4772939692622 |
Real period |
R |
0.62784244286171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38160ba2 4770c2 23850g2 |
Quadratic twists by: -4 -3 5 |