Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640by |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-26086752830976000 = -1 · 212 · 3 · 53 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8544,-7767744] |
[a1,a2,a3,a4,a6] |
Generators |
[27253292:447611481:85184] |
Generators of the group modulo torsion |
j |
357911/135375 |
j-invariant |
L |
6.5490740642252 |
L(r)(E,1)/r! |
Ω |
0.17642094434712 |
Real period |
R |
9.2804656597159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002371 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5415h1 4560y1 |
Quadratic twists by: -4 -19 |