Atkin-Lehner |
2- 3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
94800bk |
Isogeny class |
Conductor |
94800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-72806400000000 = -1 · 218 · 32 · 58 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,592,-410688] |
[a1,a2,a3,a4,a6] |
Generators |
[136:1472:1] |
Generators of the group modulo torsion |
j |
357911/1137600 |
j-invariant |
L |
6.3938949351192 |
L(r)(E,1)/r! |
Ω |
0.28480736406833 |
Real period |
R |
2.8062366579442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017378 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11850ba1 18960s1 |
Quadratic twists by: -4 5 |