Atkin-Lehner |
2- 5+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
88330r |
Isogeny class |
Conductor |
88330 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
2487936 |
Modular degree for the optimal curve |
Δ |
-3.2939712827461E+19 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 11+ -2 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-693756,-354622960] |
[a1,a2,a3,a4,a6] |
Generators |
[1144:18116:1] [3640:211140:1] |
Generators of the group modulo torsion |
j |
-15660652081859/13969653760 |
j-invariant |
L |
16.097110921646 |
L(r)(E,1)/r! |
Ω |
0.079751288648029 |
Real period |
R |
2.6558077576654 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999549 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88330a1 |
Quadratic twists by: -11 |