Atkin-Lehner |
2+ 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
33550i |
Isogeny class |
Conductor |
33550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
-259661548748800 = -1 · 221 · 52 · 113 · 612 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 11- 1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-995,-775795] |
[a1,a2,a3,a4,a6] |
Generators |
[3027:18281:27] |
Generators of the group modulo torsion |
j |
-4364502658465/10386461949952 |
j-invariant |
L |
5.5986476667449 |
L(r)(E,1)/r! |
Ω |
0.2503247735865 |
Real period |
R |
3.7275892876621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33550z1 |
Quadratic twists by: 5 |