Atkin-Lehner |
2+ 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200u |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-122412000000000 = -1 · 211 · 3 · 59 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11792,-205088] |
[a1,a2,a3,a4,a6] |
j |
45330374/30603 |
j-invariant |
L |
2.6713798282953 |
L(r)(E,1)/r! |
Ω |
0.33392263708598 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60600bo2 121200bm2 |
Quadratic twists by: -4 5 |