Atkin-Lehner |
2- 3- 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
52470z |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
324365342400 = 26 · 38 · 52 · 11 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-304178,64647281] |
[a1,a2,a3,a4,a6] |
Generators |
[321:-233:1] |
Generators of the group modulo torsion |
j |
4269512067458414041/444945600 |
j-invariant |
L |
9.7443847805538 |
L(r)(E,1)/r! |
Ω |
0.74365963083888 |
Real period |
R |
1.0919404945036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490m2 |
Quadratic twists by: -3 |