Atkin-Lehner |
2+ 3- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270q |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
34524320547600 = 24 · 312 · 52 · 132 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21240,-1152144] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:176:1] |
Generators of the group modulo torsion |
j |
1453688056967041/47358464400 |
j-invariant |
L |
2.4933923792554 |
L(r)(E,1)/r! |
Ω |
0.39625700106024 |
Real period |
R |
1.5730904265318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12090bi2 |
Quadratic twists by: -3 |