Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656bf |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
11980800 |
Modular degree for the optimal curve |
Δ |
-8.0215175025611E+25 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- -6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3243808,430916771584] |
[a1,a2,a3,a4,a6] |
Generators |
[4819742:7975594242:12167] |
Generators of the group modulo torsion |
j |
-520203426765625/11054534935707648 |
j-invariant |
L |
4.0014774433106 |
L(r)(E,1)/r! |
Ω |
0.048683854770693 |
Real period |
R |
10.27413878318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5082ba1 121968dr1 3696r1 |
Quadratic twists by: -4 -3 -11 |