Atkin-Lehner |
2- 5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
121360p |
Isogeny class |
Conductor |
121360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1622552581085593600 = -1 · 224 · 52 · 372 · 414 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 4 6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,245864,-39340140] |
[a1,a2,a3,a4,a6] |
Generators |
[516:15006:1] |
Generators of the group modulo torsion |
j |
401279364103716071/396131001241600 |
j-invariant |
L |
3.7969269112754 |
L(r)(E,1)/r! |
Ω |
0.14524544827696 |
Real period |
R |
3.2676815421206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998630003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15170a2 |
Quadratic twists by: -4 |