Atkin-Lehner |
2+ 37- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
19832b |
Isogeny class |
Conductor |
19832 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-39664 = -1 · 24 · 37 · 67 |
Discriminant |
Eigenvalues |
2+ 0 3 -2 0 -3 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11,-17] |
[a1,a2,a3,a4,a6] |
j |
-9199872/2479 |
j-invariant |
L |
2.5851796722697 |
L(r)(E,1)/r! |
Ω |
1.2925898361348 |
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 |
39664d1 |
Quadratic twists by: -4 |