Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800ev |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-386718750000000000 = -1 · 210 · 32 · 518 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1562133,752609637] |
[a1,a2,a3,a4,a6] |
Generators |
[-463:37100:1] |
Generators of the group modulo torsion |
j |
-26348629355659264/24169921875 |
j-invariant |
L |
5.9356398101603 |
L(r)(E,1)/r! |
Ω |
0.29878526370248 |
Real period |
R |
4.9664763722099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999814 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800ch3 13200cc3 10560cn3 |
Quadratic twists by: -4 8 5 |