Atkin-Lehner |
2+ 3- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
118482bl |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
80570008314432 = 26 · 36 · 73 · 132 · 313 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10897,-72796] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:418:1] [-682:4243:8] |
Generators of the group modulo torsion |
j |
417150869036959/234897983424 |
j-invariant |
L |
9.3605528852439 |
L(r)(E,1)/r! |
Ω |
0.5030237493122 |
Real period |
R |
0.51690473521011 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992625 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118482n1 |
Quadratic twists by: -7 |