Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
36400cx |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
3121300000000 = 28 · 58 · 74 · 13 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 6 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4000,47500] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:350:1] |
Generators of the group modulo torsion |
j |
70778880/31213 |
j-invariant |
L |
3.8203684097558 |
L(r)(E,1)/r! |
Ω |
0.71855499627511 |
Real period |
R |
0.22153073584949 |
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 |
9100j1 36400bh1 |
Quadratic twists by: -4 5 |