Atkin-Lehner |
2- 3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
108780x |
Isogeny class |
Conductor |
108780 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
-16121615574032640 = -1 · 28 · 310 · 5 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,20564,6009380] |
[a1,a2,a3,a4,a6] |
Generators |
[-136:846:1] [44:-2646:1] |
Generators of the group modulo torsion |
j |
31929871664/535279185 |
j-invariant |
L |
13.048034638167 |
L(r)(E,1)/r! |
Ω |
0.29152223176579 |
Real period |
R |
1.4919427767418 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999145 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15540f2 |
Quadratic twists by: -7 |