Atkin-Lehner |
2- 3+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
48804a |
Isogeny class |
Conductor |
48804 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-7232941041322752 = -1 · 28 · 310 · 78 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -5 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48477,-5782167] |
[a1,a2,a3,a4,a6] |
Generators |
[923:27110:1] |
Generators of the group modulo torsion |
j |
-8537202688/4901067 |
j-invariant |
L |
5.680389886712 |
L(r)(E,1)/r! |
Ω |
0.15672178128401 |
Real period |
R |
6.0408428236818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48804q1 |
Quadratic twists by: -7 |