Atkin-Lehner |
2+ 37+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
4514a |
Isogeny class |
Conductor |
4514 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
448 |
Modular degree for the optimal curve |
Δ |
-9028 = -1 · 22 · 37 · 61 |
Discriminant |
Eigenvalues |
2+ 0 -2 -4 3 -4 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23,49] |
[a1,a2,a3,a4,a6] |
Generators |
[0:7:1] [3:-1:1] |
Generators of the group modulo torsion |
j |
-1378749897/9028 |
j-invariant |
L |
3.0526327635456 |
L(r)(E,1)/r! |
Ω |
4.1331823030541 |
Real period |
R |
0.36928358583286 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36112f1 40626o1 112850p1 |
Quadratic twists by: -4 -3 5 |