Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2574a |
Isogeny class |
Conductor |
2574 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-126817726464 = -1 · 212 · 39 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11+ 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,309,-17083] |
[a1,a2,a3,a4,a6] |
Generators |
[49:313:1] |
Generators of the group modulo torsion |
j |
165469149/6443008 |
j-invariant |
L |
2.5590703843704 |
L(r)(E,1)/r! |
Ω |
0.50122645154515 |
Real period |
R |
2.5528085922854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20592u1 82368m1 2574s1 64350cu1 |
Quadratic twists by: -4 8 -3 5 |