Atkin-Lehner |
2+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
99176g |
Isogeny class |
Conductor |
99176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
6779573201347408 = 24 · 712 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11+ -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-494410,-133748391] |
[a1,a2,a3,a4,a6] |
Generators |
[75515824580:-9872309932443:4410944] |
Generators of the group modulo torsion |
j |
7100308654848000/3601588837 |
j-invariant |
L |
5.4397876560389 |
L(r)(E,1)/r! |
Ω |
0.180049104196 |
Real period |
R |
15.106400220501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002544 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14168b1 |
Quadratic twists by: -7 |