Atkin-Lehner |
2- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47600bj |
Isogeny class |
Conductor |
47600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1689629830000 = -1 · 24 · 54 · 7 · 176 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 3 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2942,-12813] |
[a1,a2,a3,a4,a6] |
Generators |
[15287178:164767281:551368] |
Generators of the group modulo torsion |
j |
281516652800/168962983 |
j-invariant |
L |
8.6195000927545 |
L(r)(E,1)/r! |
Ω |
0.48960515053139 |
Real period |
R |
8.8025014477463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11900i2 47600bd2 |
Quadratic twists by: -4 5 |