Atkin-Lehner |
2- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116032w |
Isogeny class |
Conductor |
116032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-1111934656 = -1 · 26 · 73 · 373 |
Discriminant |
Eigenvalues |
2- 0 1 7- -3 5 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-182,-1862] |
[a1,a2,a3,a4,a6] |
Generators |
[1092:7:64] |
Generators of the group modulo torsion |
j |
-30371328/50653 |
j-invariant |
L |
6.2319705129551 |
L(r)(E,1)/r! |
Ω |
0.61471609987921 |
Real period |
R |
5.0689826749934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999876454 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116032v1 58016n1 116032y1 |
Quadratic twists by: -4 8 -7 |