Atkin-Lehner |
2+ 3+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
116688c |
Isogeny class |
Conductor |
116688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59392 |
Modular degree for the optimal curve |
Δ |
-2019052464 = -1 · 24 · 3 · 114 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11- 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-507,5070] |
[a1,a2,a3,a4,a6] |
Generators |
[10:30:1] |
Generators of the group modulo torsion |
j |
-902576293888/126190779 |
j-invariant |
L |
8.1886693297917 |
L(r)(E,1)/r! |
Ω |
1.4252183840252 |
Real period |
R |
2.8727770329484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059429 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58344d1 |
Quadratic twists by: -4 |