Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176bc |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
-5718799297988352 = -1 · 28 · 38 · 237 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 0 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17457,3528430] |
[a1,a2,a3,a4,a6] |
Generators |
[14585:1761480:1] |
Generators of the group modulo torsion |
j |
21296/207 |
j-invariant |
L |
9.7860799892785 |
L(r)(E,1)/r! |
Ω |
0.31354170949045 |
Real period |
R |
7.8028534093373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000185 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38088bd1 25392t1 3312i1 |
Quadratic twists by: -4 -3 -23 |