Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22540r |
Isogeny class |
Conductor |
22540 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-14314353830000 = -1 · 24 · 54 · 76 · 233 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -6 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2270,-185975] |
[a1,a2,a3,a4,a6] |
Generators |
[320:-5635:1] |
Generators of the group modulo torsion |
j |
-687518464/7604375 |
j-invariant |
L |
3.8358745246562 |
L(r)(E,1)/r! |
Ω |
0.29921619697727 |
Real period |
R |
0.17805197580503 |
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 |
90160cs1 112700h1 460c1 |
Quadratic twists by: -4 5 -7 |