Atkin-Lehner |
2- 3+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
92352cb |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-51889778343936 = -1 · 214 · 34 · 134 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6609,-401391] |
[a1,a2,a3,a4,a6] |
Generators |
[129:936:1] [155:1508:1] |
Generators of the group modulo torsion |
j |
-1948842487888/3167100729 |
j-invariant |
L |
8.5867173917396 |
L(r)(E,1)/r! |
Ω |
0.25063756610831 |
Real period |
R |
2.1412186739178 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92352bi2 23088n2 |
Quadratic twists by: -4 8 |