Atkin-Lehner |
2- 3- 7+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
66402u |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-15315315452388 = -1 · 22 · 314 · 72 · 17 · 312 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 0 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32,188295] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:435:1] |
Generators of the group modulo torsion |
j |
-4826809/21008663172 |
j-invariant |
L |
6.5617204896436 |
L(r)(E,1)/r! |
Ω |
0.55618338772956 |
Real period |
R |
1.4747205314611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000769 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22134d2 |
Quadratic twists by: -3 |