Atkin-Lehner |
5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
2765a |
Isogeny class |
Conductor |
2765 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2992 |
Modular degree for the optimal curve |
Δ |
27001953125 = 511 · 7 · 79 |
Discriminant |
Eigenvalues |
0 -2 5+ 7+ -5 5 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5871,-174939] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:12:1] |
Generators of the group modulo torsion |
j |
22383805528244224/27001953125 |
j-invariant |
L |
1.56500522308 |
L(r)(E,1)/r! |
Ω |
0.54543980444908 |
Real period |
R |
2.8692537844037 |
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 |
44240n1 24885h1 13825c1 19355j1 |
Quadratic twists by: -4 -3 5 -7 |