Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75240bn |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4075961472000 = 210 · 36 · 53 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24627,-1484354] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:40:1] |
Generators of the group modulo torsion |
j |
2212741893316/5460125 |
j-invariant |
L |
7.5711597344564 |
L(r)(E,1)/r! |
Ω |
0.38116329906591 |
Real period |
R |
1.655274732046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002287 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8360a2 |
Quadratic twists by: -3 |