Atkin-Lehner |
2- 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
4930h |
Isogeny class |
Conductor |
4930 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
896 |
Modular degree for the optimal curve |
Δ |
39440 = 24 · 5 · 17 · 29 |
Discriminant |
Eigenvalues |
2- -2 5- -4 0 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-50,-140] |
[a1,a2,a3,a4,a6] |
Generators |
[12:26:1] |
Generators of the group modulo torsion |
j |
13841287201/39440 |
j-invariant |
L |
3.7520170941642 |
L(r)(E,1)/r! |
Ω |
1.7955033022857 |
Real period |
R |
2.0896742932123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39440n1 44370h1 24650e1 83810w1 |
Quadratic twists by: -4 -3 5 17 |