Atkin-Lehner |
2- 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30150cc |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
Δ |
-105500880000 = -1 · 27 · 39 · 54 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 3 5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22793105,-41878802303] |
[a1,a2,a3,a4,a6] |
j |
-106454214048830427675/8576 |
j-invariant |
L |
4.3530056698475 |
L(r)(E,1)/r! |
Ω |
0.034547664046413 |
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 |
30150p1 30150f2 |
Quadratic twists by: -3 5 |