Atkin-Lehner |
2- 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30150bp |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
6902889609375000 = 23 · 39 · 510 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-52355,2311147] |
[a1,a2,a3,a4,a6] |
j |
51603494067/22445000 |
j-invariant |
L |
4.5451522865977 |
L(r)(E,1)/r! |
Ω |
0.37876269054953 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30150c2 6030e2 |
Quadratic twists by: -3 5 |