Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
112608bp |
Isogeny class |
Conductor |
112608 |
Conductor |
∏ cp |
14 |
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 |
[2735426:1599548409:8] |
Generators of the group modulo torsion |
j |
5572779082688438776/10253628428815053 |
j-invariant |
L |
8.7548123522622 |
L(r)(E,1)/r! |
Ω |
0.073112005281832 |
Real period |
R |
8.5532292427501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999660128 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112608r1 37536d1 |
Quadratic twists by: -4 -3 |