Atkin-Lehner |
2+ 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810u |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
816480 |
Modular degree for the optimal curve |
Δ |
2705921491490287560 = 23 · 39 · 5 · 710 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-666327,193539501] |
[a1,a2,a3,a4,a6] |
j |
115826135082889/9579322440 |
j-invariant |
L |
0.7487203271083 |
L(r)(E,1)/r! |
Ω |
0.24957344236671 |
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 |
101430ds1 33810z1 |
Quadratic twists by: -3 -7 |