Atkin-Lehner |
2- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
12200h |
Isogeny class |
Conductor |
12200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5.5415283203125E+21 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 4 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30915175,66064538250] |
[a1,a2,a3,a4,a6] |
j |
816918720558569514576/1385382080078125 |
j-invariant |
L |
2.1663920453692 |
L(r)(E,1)/r! |
Ω |
0.13539950283558 |
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 |
24400b2 97600l2 109800o2 2440b2 |
Quadratic twists by: -4 8 -3 5 |