Atkin-Lehner |
2+ 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
12432l |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
508016257894656 = 28 · 32 · 76 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-626092,190468460] |
[a1,a2,a3,a4,a6] |
Generators |
[34041:1012690:27] |
Generators of the group modulo torsion |
j |
106022710798663038928/1984438507401 |
j-invariant |
L |
6.1927262025769 |
L(r)(E,1)/r! |
Ω |
0.48065074846871 |
Real period |
R |
6.4420228433079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6216g2 49728cw2 37296q2 87024q2 |
Quadratic twists by: -4 8 -3 -7 |