Atkin-Lehner |
2+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33088a |
Isogeny class |
Conductor |
33088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-520165001047048192 = -1 · 236 · 115 · 47 |
Discriminant |
Eigenvalues |
2+ 0 0 -5 11+ -1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57260,35098416] |
[a1,a2,a3,a4,a6] |
Generators |
[557:13267:1] |
Generators of the group modulo torsion |
j |
-79202305058625/1984272007168 |
j-invariant |
L |
3.2716002588476 |
L(r)(E,1)/r! |
Ω |
0.24567490061081 |
Real period |
R |
6.6583933700867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33088bf1 1034b1 |
Quadratic twists by: -4 8 |