Atkin-Lehner |
2- 3+ 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
78384t |
Isogeny class |
Conductor |
78384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-672903438336 = -1 · 213 · 37 · 232 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -3 5 -3 -6 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2168,6256] |
[a1,a2,a3,a4,a6] |
Generators |
[12:184:1] |
Generators of the group modulo torsion |
j |
275005425527/164283066 |
j-invariant |
L |
3.8286644564477 |
L(r)(E,1)/r! |
Ω |
0.55498418224221 |
Real period |
R |
0.86233639154055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995639 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9798e1 |
Quadratic twists by: -4 |