Atkin-Lehner |
2+ 3- 103- |
Signs for the Atkin-Lehner involutions |
Class |
59328y |
Isogeny class |
Conductor |
59328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-95034912768 = -1 · 212 · 37 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1092,-20320] |
[a1,a2,a3,a4,a6] |
Generators |
[52:252:1] |
Generators of the group modulo torsion |
j |
-48228544/31827 |
j-invariant |
L |
3.5841372934797 |
L(r)(E,1)/r! |
Ω |
0.4033331661635 |
Real period |
R |
2.2215736233565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999579 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59328l2 29664j1 19776k2 |
Quadratic twists by: -4 8 -3 |