Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
54096bn |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-7677081877248 = -1 · 28 · 37 · 72 · 234 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 -5 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7709,295233] |
[a1,a2,a3,a4,a6] |
Generators |
[121:1058:1] |
Generators of the group modulo torsion |
j |
-4039597907968/612012267 |
j-invariant |
L |
3.0050821794753 |
L(r)(E,1)/r! |
Ω |
0.71556080857234 |
Real period |
R |
1.0499045446103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13524k1 54096cg1 |
Quadratic twists by: -4 -7 |