Atkin-Lehner |
2- 3+ 5- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
33990z |
Isogeny class |
Conductor |
33990 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-136922607421875000 = -1 · 23 · 32 · 516 · 112 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-264160,-55316935] |
[a1,a2,a3,a4,a6] |
j |
-2038566967114155978241/136922607421875000 |
j-invariant |
L |
5.0345866554113 |
L(r)(E,1)/r! |
Ω |
0.10488722198767 |
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 |
101970m2 |
Quadratic twists by: -3 |