Atkin-Lehner |
2+ 3+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
19032b |
Isogeny class |
Conductor |
19032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15936 |
Modular degree for the optimal curve |
Δ |
-235682543616 = -1 · 211 · 3 · 132 · 613 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -2 0 13- -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-200,-23316] |
[a1,a2,a3,a4,a6] |
j |
-434163602/115079367 |
j-invariant |
L |
0.88565392310318 |
L(r)(E,1)/r! |
Ω |
0.44282696155159 |
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 |
38064m1 57096o1 |
Quadratic twists by: -4 -3 |