Atkin-Lehner |
2- 5- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
104650bm |
Isogeny class |
Conductor |
104650 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
267904000 = 210 · 53 · 7 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -4 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-165,-163] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:20:1] |
Generators of the group modulo torsion |
j |
3951805941/2143232 |
j-invariant |
L |
9.7183286767427 |
L(r)(E,1)/r! |
Ω |
1.4209565957754 |
Real period |
R |
1.3678572196064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999849241 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104650p1 |
Quadratic twists by: 5 |