Atkin-Lehner |
2+ 3- 7+ 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
116298d |
Isogeny class |
Conductor |
116298 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-5769443551592448 = -1 · 214 · 310 · 7 · 132 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 4 13- -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9297,3673053] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:1977:1] |
Generators of the group modulo torsion |
j |
-121913262276625/7914188685312 |
j-invariant |
L |
4.5015134859461 |
L(r)(E,1)/r! |
Ω |
0.35250610900684 |
Real period |
R |
3.1925074359295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999757558 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38766be1 |
Quadratic twists by: -3 |