Atkin-Lehner |
2- 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
39160l |
Isogeny class |
Conductor |
39160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
76675280 = 24 · 5 · 112 · 892 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11- 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-231,1210] |
[a1,a2,a3,a4,a6] |
Generators |
[11:11:1] |
Generators of the group modulo torsion |
j |
85569378304/4792205 |
j-invariant |
L |
3.1457735341479 |
L(r)(E,1)/r! |
Ω |
1.9056302743386 |
Real period |
R |
0.82538926267808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78320c1 |
Quadratic twists by: -4 |