Atkin-Lehner |
2- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
117208m |
Isogeny class |
Conductor |
117208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
33346718682368 = 28 · 77 · 13 · 233 |
Discriminant |
Eigenvalues |
2- -2 2 7- -1 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8297,83467] |
[a1,a2,a3,a4,a6] |
Generators |
[9:98:1] |
Generators of the group modulo torsion |
j |
2097544192/1107197 |
j-invariant |
L |
4.2779277696416 |
L(r)(E,1)/r! |
Ω |
0.57517089500812 |
Real period |
R |
1.8594159374334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000126084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16744i1 |
Quadratic twists by: -7 |