Atkin-Lehner |
2+ 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33488f |
Isogeny class |
Conductor |
33488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
6965504 = 28 · 7 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9071,-332530] |
[a1,a2,a3,a4,a6] |
Generators |
[45647:310080:343] |
Generators of the group modulo torsion |
j |
322440248841552/27209 |
j-invariant |
L |
4.1266326438756 |
L(r)(E,1)/r! |
Ω |
0.48919923040133 |
Real period |
R |
8.435484742055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16744g1 |
Quadratic twists by: -4 |