Atkin-Lehner |
2- 3+ 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
126480z |
Isogeny class |
Conductor |
126480 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
-222057774000 = -1 · 24 · 36 · 53 · 173 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1139,-17564] |
[a1,a2,a3,a4,a6] |
Generators |
[148:1836:1] |
Generators of the group modulo torsion |
j |
10204542795776/13878610875 |
j-invariant |
L |
5.0181562816888 |
L(r)(E,1)/r! |
Ω |
0.53004741128666 |
Real period |
R |
1.5778954436115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998220163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31620j1 |
Quadratic twists by: -4 |