Atkin-Lehner |
2- 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
123420l |
Isogeny class |
Conductor |
123420 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
22400730000 = 24 · 32 · 54 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-766,4105] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:-825:8] [-20:105:1] |
Generators of the group modulo torsion |
j |
212464384/95625 |
j-invariant |
L |
9.1006578939548 |
L(r)(E,1)/r! |
Ω |
1.0818422375265 |
Real period |
R |
0.23367182724574 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000694 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123420b1 |
Quadratic twists by: -11 |