Atkin-Lehner |
2+ 3+ 5+ 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
33630a |
Isogeny class |
Conductor |
33630 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-1235328368640 = -1 · 216 · 3 · 5 · 192 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 2 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-533,-53907] |
[a1,a2,a3,a4,a6] |
Generators |
[374:1105:8] |
Generators of the group modulo torsion |
j |
-16794916941529/1235328368640 |
j-invariant |
L |
3.2123181840223 |
L(r)(E,1)/r! |
Ω |
0.38041455059504 |
Real period |
R |
4.2221284372515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100890x1 |
Quadratic twists by: -3 |