Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13776ba |
Isogeny class |
Conductor |
13776 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-680424192 = -1 · 28 · 33 · 74 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 3 -4 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-197,-1713] |
[a1,a2,a3,a4,a6] |
Generators |
[19:42:1] |
Generators of the group modulo torsion |
j |
-3319595008/2657907 |
j-invariant |
L |
6.7782392797979 |
L(r)(E,1)/r! |
Ω |
0.61580119744986 |
Real period |
R |
0.45863281498611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3444b1 55104cl1 41328cb1 96432bc1 |
Quadratic twists by: -4 8 -3 -7 |