Atkin-Lehner |
2+ 3- 5- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
33990q |
Isogeny class |
Conductor |
33990 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
9853422282000 = 24 · 33 · 53 · 116 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5468,-37942] |
[a1,a2,a3,a4,a6] |
Generators |
[93:463:1] |
Generators of the group modulo torsion |
j |
18075696959832121/9853422282000 |
j-invariant |
L |
6.0848459655888 |
L(r)(E,1)/r! |
Ω |
0.59259102845943 |
Real period |
R |
3.4227348898656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
101970bq1 |
Quadratic twists by: -3 |