Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
93492u |
Isogeny class |
Conductor |
93492 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-8145723108096 = -1 · 28 · 36 · 77 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -5 2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3528,-111132] |
[a1,a2,a3,a4,a6] |
Generators |
[84:-882:1] |
Generators of the group modulo torsion |
j |
221184/371 |
j-invariant |
L |
6.8085937556474 |
L(r)(E,1)/r! |
Ω |
0.38791568977855 |
Real period |
R |
0.36566116527316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006379 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10388d1 13356d1 |
Quadratic twists by: -3 -7 |