Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
80688bg |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-43076529314095104 = -1 · 213 · 33 · 417 |
Discriminant |
Eigenvalues |
2- 3- 3 2 -6 1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40904,-10494732] |
[a1,a2,a3,a4,a6] |
Generators |
[8596:796794:1] |
Generators of the group modulo torsion |
j |
-389017/2214 |
j-invariant |
L |
10.872545337754 |
L(r)(E,1)/r! |
Ω |
0.1505577938958 |
Real period |
R |
3.0089622779369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10086d1 1968g1 |
Quadratic twists by: -4 41 |