Atkin-Lehner |
2- 5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
30550z |
Isogeny class |
Conductor |
30550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-5692773095628125000 = -1 · 23 · 58 · 132 · 476 |
Discriminant |
Eigenvalues |
2- 1 5- 2 -3 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16146388,-24974061608] |
[a1,a2,a3,a4,a6] |
j |
-1191762820019365317985/14573499124808 |
j-invariant |
L |
4.0669997865244 |
L(r)(E,1)/r! |
Ω |
0.037657405430816 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30550b2 |
Quadratic twists by: 5 |