Atkin-Lehner |
2- 3- 23+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
87768h |
Isogeny class |
Conductor |
87768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-2116795118832 = -1 · 24 · 36 · 23 · 534 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -4 -5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2055,-78649] |
[a1,a2,a3,a4,a6] |
Generators |
[137:1487:1] |
Generators of the group modulo torsion |
j |
-82283296000/181481063 |
j-invariant |
L |
6.3447073943233 |
L(r)(E,1)/r! |
Ω |
0.33188901977739 |
Real period |
R |
4.7792387026012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001843 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9752b1 |
Quadratic twists by: -3 |