Atkin-Lehner |
2+ 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810c |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
24702688500000 = 25 · 3 · 56 · 74 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7303,20053] |
[a1,a2,a3,a4,a6] |
Generators |
[113:752:1] |
Generators of the group modulo torsion |
j |
6281447387851/3601500000 |
j-invariant |
L |
3.506595783197 |
L(r)(E,1)/r! |
Ω |
0.57485253490001 |
Real period |
R |
3.0499959304743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973227 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75810cs2 |
Quadratic twists by: -19 |