Atkin-Lehner |
2+ 3- 5+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
73530h |
Isogeny class |
Conductor |
73530 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-10291847040 = -1 · 27 · 39 · 5 · 19 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -3 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-225,-4995] |
[a1,a2,a3,a4,a6] |
Generators |
[174:-33:8] |
Generators of the group modulo torsion |
j |
-1732323601/14117760 |
j-invariant |
L |
4.1387156675614 |
L(r)(E,1)/r! |
Ω |
0.54237245863452 |
Real period |
R |
3.8153814801574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988361 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24510t1 |
Quadratic twists by: -3 |