Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360di |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
92246227920 = 24 · 34 · 5 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6435,196020] |
[a1,a2,a3,a4,a6] |
Generators |
[48:6:1] |
Generators of the group modulo torsion |
j |
15657723904/49005 |
j-invariant |
L |
10.065745807259 |
L(r)(E,1)/r! |
Ω |
1.0752546344611 |
Real period |
R |
2.3403167527613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068753 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680bv1 2640d1 |
Quadratic twists by: -4 -7 |