Atkin-Lehner |
2- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
76532a |
Isogeny class |
Conductor |
76532 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
592800 |
Modular degree for the optimal curve |
Δ |
-232046014223670016 = -1 · 28 · 199 · 532 |
Discriminant |
Eigenvalues |
2- -2 1 1 -3 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,128035,15082687] |
[a1,a2,a3,a4,a6] |
Generators |
[481:13718:1] [26:4293:1] |
Generators of the group modulo torsion |
j |
2809856/2809 |
j-invariant |
L |
8.1246478459804 |
L(r)(E,1)/r! |
Ω |
0.20665336033479 |
Real period |
R |
3.2762786246047 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76532b1 |
Quadratic twists by: -19 |