Atkin-Lehner |
2- 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
51100o |
Isogeny class |
Conductor |
51100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
913923500000000 = 28 · 59 · 73 · 732 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ -2 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-231708,-42828088] |
[a1,a2,a3,a4,a6] |
Generators |
[-15332398703835362431426794:255910243109170332063313:54178555488550307658936] |
Generators of the group modulo torsion |
j |
2751557975696/1827847 |
j-invariant |
L |
8.586311099762 |
L(r)(E,1)/r! |
Ω |
0.21761130761129 |
Real period |
R |
39.457099881503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51100v2 |
Quadratic twists by: 5 |