Atkin-Lehner |
2+ 3+ 5+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
33990c |
Isogeny class |
Conductor |
33990 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
8019648 |
Modular degree for the optimal curve |
Δ |
1.0737723678659E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11- -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-77283113,-208664554107] |
[a1,a2,a3,a4,a6] |
j |
51047860280858636436233485849/10737723678659493809356800 |
j-invariant |
L |
0.72345367401905 |
L(r)(E,1)/r! |
Ω |
0.051675262429338 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101970by1 |
Quadratic twists by: -3 |