Atkin-Lehner |
3- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72675r |
Isogeny class |
Conductor |
72675 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5066219671875 = 310 · 56 · 172 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 -2 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23517,1389766] |
[a1,a2,a3,a4,a6] |
Generators |
[74:188:1] [-338:12319:8] |
Generators of the group modulo torsion |
j |
126279339913/444771 |
j-invariant |
L |
11.694208473613 |
L(r)(E,1)/r! |
Ω |
0.77044432359625 |
Real period |
R |
1.8973156325961 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999833 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24225d2 2907a2 |
Quadratic twists by: -3 5 |