Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280fo |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-658986840000000000 = -1 · 212 · 312 · 510 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,196188,-20167616] |
[a1,a2,a3,a4,a6] |
Generators |
[348:9500:1] |
Generators of the group modulo torsion |
j |
279674941219136/220693359375 |
j-invariant |
L |
7.7333726690199 |
L(r)(E,1)/r! |
Ω |
0.15989616760029 |
Real period |
R |
2.4182482883757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280ey1 44640bl1 29760ck1 |
Quadratic twists by: -4 8 -3 |