Atkin-Lehner |
2+ 3+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
79296k |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
786074884374528 = 222 · 33 · 76 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31393,1672993] |
[a1,a2,a3,a4,a6] |
Generators |
[57:256:1] |
Generators of the group modulo torsion |
j |
13052571603625/2998637712 |
j-invariant |
L |
6.294895240869 |
L(r)(E,1)/r! |
Ω |
0.47437772005868 |
Real period |
R |
2.2116325503915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995158 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79296bv1 2478b1 |
Quadratic twists by: -4 8 |