Atkin-Lehner |
2- 3+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49632i |
Isogeny class |
Conductor |
49632 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-303872655347712 = -1 · 212 · 34 · 117 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 5 11- 1 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6337,862993] |
[a1,a2,a3,a4,a6] |
Generators |
[271:4356:1] |
Generators of the group modulo torsion |
j |
-6872004209728/74187659997 |
j-invariant |
L |
7.4390708055868 |
L(r)(E,1)/r! |
Ω |
0.46435642039566 |
Real period |
R |
0.57214908318451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49632l1 99264by1 |
Quadratic twists by: -4 8 |