Atkin-Lehner |
2- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
81928u |
Isogeny class |
Conductor |
81928 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-134830938748135168 = -1 · 28 · 77 · 116 · 192 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 11- -4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45684,18046720] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:-4598:1] [-208:4312:1] |
Generators of the group modulo torsion |
j |
-350104249168/4476734647 |
j-invariant |
L |
6.516925222464 |
L(r)(E,1)/r! |
Ω |
0.27842485465413 |
Real period |
R |
0.48763346085833 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000297 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11704f1 |
Quadratic twists by: -7 |