Atkin-Lehner |
2- 3- 5+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
78210bi |
Isogeny class |
Conductor |
78210 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-4685110493085000 = -1 · 23 · 37 · 54 · 11 · 794 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16583,-3390073] |
[a1,a2,a3,a4,a6] |
Generators |
[297:4072:1] |
Generators of the group modulo torsion |
j |
-691768740750121/6426763365000 |
j-invariant |
L |
9.7965563399144 |
L(r)(E,1)/r! |
Ω |
0.18381533839952 |
Real period |
R |
4.4413034396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000377 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26070r3 |
Quadratic twists by: -3 |