Atkin-Lehner |
2+ 5- 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
121360j |
Isogeny class |
Conductor |
121360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
79612160000 = 211 · 54 · 37 · 412 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 2 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1920,-28768] |
[a1,a2,a3,a4,a6] |
Generators |
[338:6150:1] |
Generators of the group modulo torsion |
j |
382405052162/38873125 |
j-invariant |
L |
9.7077321962437 |
L(r)(E,1)/r! |
Ω |
0.72592771280174 |
Real period |
R |
3.3432158649843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011498 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60680j2 |
Quadratic twists by: -4 |