Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
2190q |
Isogeny class |
Conductor |
2190 |
Conductor |
∏ cp |
165 |
Product of Tamagawa factors cp |
deg |
2640 |
Modular degree for the optimal curve |
Δ |
-4541184000 = -1 · 211 · 35 · 53 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -2 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-260,3600] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-260:1] |
Generators of the group modulo torsion |
j |
-1944232280641/4541184000 |
j-invariant |
L |
4.7370629293232 |
L(r)(E,1)/r! |
Ω |
1.2199559045661 |
Real period |
R |
0.023533204922796 |
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 |
17520q1 70080h1 6570h1 10950d1 |
Quadratic twists by: -4 8 -3 5 |