Atkin-Lehner |
2- 3- 5+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850cg |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
312 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-363450240000000 = -1 · 213 · 36 · 57 · 19 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -1 -1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12662,736292] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:614:1] |
Generators of the group modulo torsion |
j |
14368401992231/23260815360 |
j-invariant |
L |
13.875291973695 |
L(r)(E,1)/r! |
Ω |
0.36665608500736 |
Real period |
R |
0.12129101731205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023629 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23370a1 |
Quadratic twists by: 5 |