Atkin-Lehner |
2+ 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
112608r |
Isogeny class |
Conductor |
112608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5203968 |
Modular degree for the optimal curve |
Δ |
-3.8271463037984E+21 |
Discriminant |
Eigenvalues |
2+ 3- 3 -2 4 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2659389,2464294102] |
[a1,a2,a3,a4,a6] |
Generators |
[-204003:30041326:729] |
Generators of the group modulo torsion |
j |
5572779082688438776/10253628428815053 |
j-invariant |
L |
8.7422328797632 |
L(r)(E,1)/r! |
Ω |
0.096013792901663 |
Real period |
R |
11.381480435387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004148 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112608bp1 37536bc1 |
Quadratic twists by: -4 -3 |