Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36432n |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
754131907584 = 210 · 37 · 114 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13611,609770] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:990:1] |
Generators of the group modulo torsion |
j |
373565128612/1010229 |
j-invariant |
L |
4.4677845563773 |
L(r)(E,1)/r! |
Ω |
0.90190382778438 |
Real period |
R |
1.238431531927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18216b3 12144b3 |
Quadratic twists by: -4 -3 |