Atkin-Lehner |
2+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
52706b |
Isogeny class |
Conductor |
52706 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7560 |
Modular degree for the optimal curve |
Δ |
-210824 = -1 · 23 · 192 · 73 |
Discriminant |
Eigenvalues |
2+ -1 3 -1 -6 1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26,-68] |
[a1,a2,a3,a4,a6] |
Generators |
[54:61:8] |
Generators of the group modulo torsion |
j |
-5714497/584 |
j-invariant |
L |
3.8780340413514 |
L(r)(E,1)/r! |
Ω |
1.0458442335908 |
Real period |
R |
3.708041711001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999661 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52706c1 |
Quadratic twists by: -19 |