Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290x |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-889653663814300 = -1 · 22 · 52 · 73 · 1110 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11- 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-67883,6928937] |
[a1,a2,a3,a4,a6] |
Generators |
[391:6157:1] |
Generators of the group modulo torsion |
j |
-56933326423/1464100 |
j-invariant |
L |
7.0982524251473 |
L(r)(E,1)/r! |
Ω |
0.49762384340875 |
Real period |
R |
1.7830366548818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59290cg1 5390y1 |
Quadratic twists by: -7 -11 |