Atkin-Lehner |
2+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81928a |
Isogeny class |
Conductor |
81928 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-3392839039744 = -1 · 28 · 78 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 0 -1 7+ 11+ -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1372,86436] |
[a1,a2,a3,a4,a6] |
Generators |
[98:-1078:1] [18:342:1] |
Generators of the group modulo torsion |
j |
193536/2299 |
j-invariant |
L |
9.9132839489924 |
L(r)(E,1)/r! |
Ω |
0.58545689376611 |
Real period |
R |
0.70552333104453 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81928b1 |
Quadratic twists by: -7 |