Atkin-Lehner |
2- 3- 5+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
28470q |
Isogeny class |
Conductor |
28470 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-34642296000 = -1 · 26 · 33 · 53 · 133 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3066,65700] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:300:1] |
Generators of the group modulo torsion |
j |
-3187491363227809/34642296000 |
j-invariant |
L |
10.317802676102 |
L(r)(E,1)/r! |
Ω |
1.1671679115641 |
Real period |
R |
1.4733388078206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
85410o1 |
Quadratic twists by: -3 |