Atkin-Lehner |
2- 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
128316f |
Isogeny class |
Conductor |
128316 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
-818859722944916736 = -1 · 28 · 36 · 179 · 37 |
Discriminant |
Eigenvalues |
2- 3- 1 3 1 -6 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-311060,79611012] |
[a1,a2,a3,a4,a6] |
Generators |
[436:5202:1] |
Generators of the group modulo torsion |
j |
-538671647824/132518349 |
j-invariant |
L |
10.304988957175 |
L(r)(E,1)/r! |
Ω |
0.26902052087822 |
Real period |
R |
1.0640440803436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018286 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7548d1 |
Quadratic twists by: 17 |