Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13776bd |
Isogeny class |
Conductor |
13776 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-2498946121728 = -1 · 214 · 312 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -6 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7680,267444] |
[a1,a2,a3,a4,a6] |
Generators |
[60:-162:1] |
Generators of the group modulo torsion |
j |
-12232183057921/610094268 |
j-invariant |
L |
4.0762210396525 |
L(r)(E,1)/r! |
Ω |
0.80461066153538 |
Real period |
R |
0.42217323592196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1722l1 55104cq1 41328cf1 96432bi1 |
Quadratic twists by: -4 8 -3 -7 |