Atkin-Lehner |
2- 5- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
11570f |
Isogeny class |
Conductor |
11570 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-10411741184000 = -1 · 215 · 53 · 134 · 89 |
Discriminant |
Eigenvalues |
2- 1 5- -2 5 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12045,-532975] |
[a1,a2,a3,a4,a6] |
Generators |
[370:6575:1] |
Generators of the group modulo torsion |
j |
-193261959523187281/10411741184000 |
j-invariant |
L |
8.216005735094 |
L(r)(E,1)/r! |
Ω |
0.22714825541277 |
Real period |
R |
0.40189149789536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92560m1 104130l1 57850g1 |
Quadratic twists by: -4 -3 5 |