Atkin-Lehner |
2+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
21200c |
Isogeny class |
Conductor |
21200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
5300000000 = 28 · 58 · 53 |
Discriminant |
Eigenvalues |
2+ 0 5- -3 3 2 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-500,-2500] |
[a1,a2,a3,a4,a6] |
Generators |
[25:25:1] |
Generators of the group modulo torsion |
j |
138240/53 |
j-invariant |
L |
4.5497598240457 |
L(r)(E,1)/r! |
Ω |
1.0428510194343 |
Real period |
R |
1.4542696701183 |
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 |
10600a1 84800cl1 21200a1 |
Quadratic twists by: -4 8 5 |