Atkin-Lehner |
2- 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290cn |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
7720960 |
Modular degree for the optimal curve |
Δ |
-1.1906387026952E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,26252068,-8712143841] |
[a1,a2,a3,a4,a6] |
Generators |
[6359:641283:1] |
Generators of the group modulo torsion |
j |
2744648673908185904742791/1633249249238918062080 |
j-invariant |
L |
9.7744785571661 |
L(r)(E,1)/r! |
Ω |
0.050566405453695 |
Real period |
R |
7.4346095910379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999355 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17430f1 |
Quadratic twists by: -3 |