Atkin-Lehner |
2- 3- 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49296y |
Isogeny class |
Conductor |
49296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-2725871616 = -1 · 215 · 34 · 13 · 79 |
Discriminant |
Eigenvalues |
2- 3- -3 3 1 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-112,2516] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-48:1] |
Generators of the group modulo torsion |
j |
-38272753/665496 |
j-invariant |
L |
6.3901232966446 |
L(r)(E,1)/r! |
Ω |
1.211324035551 |
Real period |
R |
0.32970757148028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6162m1 |
Quadratic twists by: -4 |