Atkin-Lehner |
2- 5- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
33550z |
Isogeny class |
Conductor |
33550 |
Conductor |
∏ cp |
378 |
Product of Tamagawa factors cp |
deg |
665280 |
Modular degree for the optimal curve |
Δ |
-4057211699200000000 = -1 · 221 · 58 · 113 · 612 |
Discriminant |
Eigenvalues |
2- -2 5- 2 11- -1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24888,-96924608] |
[a1,a2,a3,a4,a6] |
Generators |
[488:2440:1] |
Generators of the group modulo torsion |
j |
-4364502658465/10386461949952 |
j-invariant |
L |
5.9949556534113 |
L(r)(E,1)/r! |
Ω |
0.11194864203833 |
Real period |
R |
1.275022517183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
33550i1 |
Quadratic twists by: 5 |