Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768ef |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-24693014528 = -1 · 215 · 73 · 133 |
Discriminant |
Eigenvalues |
2- -3 -2 7- -3 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1036,14896] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:91:1] [30:-104:1] |
Generators of the group modulo torsion |
j |
-10941048/2197 |
j-invariant |
L |
5.1092068167393 |
L(r)(E,1)/r! |
Ω |
1.145638194873 |
Real period |
R |
0.18582098459783 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768ee1 20384n1 40768dc1 |
Quadratic twists by: -4 8 -7 |