Atkin-Lehner |
2+ 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928l |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-9666866184192 = -1 · 221 · 33 · 7 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -3 1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17100,873584] |
[a1,a2,a3,a4,a6] |
j |
-78128296875/1365784 |
j-invariant |
L |
2.9119068081964 |
L(r)(E,1)/r! |
Ω |
0.72797681582544 |
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 |
116928cp1 3654d1 116928p2 |
Quadratic twists by: -4 8 -3 |