Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2574l |
Isogeny class |
Conductor |
2574 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-12210242616 = -1 · 23 · 36 · 115 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-594,7852] |
[a1,a2,a3,a4,a6] |
Generators |
[17:41:1] |
Generators of the group modulo torsion |
j |
-31824875809/16749304 |
j-invariant |
L |
2.6382106992478 |
L(r)(E,1)/r! |
Ω |
1.1792689906581 |
Real period |
R |
0.22371576969692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20592ba1 82368bf1 286e1 64350er1 |
Quadratic twists by: -4 8 -3 5 |