Atkin-Lehner |
2+ 3- 5+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
33990l |
Isogeny class |
Conductor |
33990 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-1.6695465688229E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1505189,737338736] |
[a1,a2,a3,a4,a6] |
Generators |
[-792:38248:1] |
Generators of the group modulo torsion |
j |
-377134622982715556664649/16695465688229407200 |
j-invariant |
L |
5.5383209985673 |
L(r)(E,1)/r! |
Ω |
0.21761025701037 |
Real period |
R |
2.5450643157428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
101970cm1 |
Quadratic twists by: -3 |