Atkin-Lehner |
2+ 3+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
53088d |
Isogeny class |
Conductor |
53088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
-6795264 = -1 · 212 · 3 · 7 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 6 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61,-203] |
[a1,a2,a3,a4,a6] |
Generators |
[51:356:1] |
Generators of the group modulo torsion |
j |
-6229504/1659 |
j-invariant |
L |
5.0040042735944 |
L(r)(E,1)/r! |
Ω |
0.84129160705535 |
Real period |
R |
2.974001066728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999411 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53088n1 106176z1 |
Quadratic twists by: -4 8 |