Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330cz |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
-2784098652163920 = -1 · 24 · 36 · 5 · 710 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-130104,18272848] |
[a1,a2,a3,a4,a6] |
Generators |
[228:536:1] |
Generators of the group modulo torsion |
j |
-1182740881/13520 |
j-invariant |
L |
5.6426483963064 |
L(r)(E,1)/r! |
Ω |
0.45528573390203 |
Real period |
R |
3.0984105014617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999211 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6370p1 57330o1 |
Quadratic twists by: -3 -7 |