Atkin-Lehner |
2+ 5- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
20440c |
Isogeny class |
Conductor |
20440 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
36736 |
Modular degree for the optimal curve |
Δ |
-746060000000 = -1 · 28 · 57 · 7 · 732 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ -3 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37625,2796875] |
[a1,a2,a3,a4,a6] |
Generators |
[275:3650:1] |
Generators of the group modulo torsion |
j |
-23010434280918016/2914296875 |
j-invariant |
L |
5.9459316661785 |
L(r)(E,1)/r! |
Ω |
0.86646177904488 |
Real period |
R |
0.1225412981272 |
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 |
40880i1 102200r1 |
Quadratic twists by: -4 5 |