Atkin-Lehner |
2- 5+ 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
21580a |
Isogeny class |
Conductor |
21580 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2640 |
Modular degree for the optimal curve |
Δ |
-1381120 = -1 · 28 · 5 · 13 · 83 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 0 13- -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19,41] |
[a1,a2,a3,a4,a6] |
Generators |
[74:243:8] |
Generators of the group modulo torsion |
j |
2809856/5395 |
j-invariant |
L |
7.2425072272151 |
L(r)(E,1)/r! |
Ω |
1.8631983375343 |
Real period |
R |
3.8871370166632 |
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 |
86320s1 107900g1 |
Quadratic twists by: -4 5 |