Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600bl |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5322240 |
Modular degree for the optimal curve |
Δ |
-1.9926897808624E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 3 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19767167,58886833537] |
[a1,a2,a3,a4,a6] |
j |
16683494528422270/38919722282469 |
j-invariant |
L |
0.11547225609609 |
L(r)(E,1)/r! |
Ω |
0.057736128048228 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33600hi1 4200bd1 100800gq1 33600cw1 |
Quadratic twists by: -4 8 -3 5 |