Atkin-Lehner |
2- 3- 7- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
65142ba |
Isogeny class |
Conductor |
65142 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
406661782044672 = 220 · 37 · 73 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-102821,-12627363] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:144:1] |
Generators of the group modulo torsion |
j |
164906469537658633/557835091968 |
j-invariant |
L |
8.2767604676779 |
L(r)(E,1)/r! |
Ω |
0.26666607237343 |
Real period |
R |
1.0345973642144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21714c1 |
Quadratic twists by: -3 |