Atkin-Lehner |
2+ 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126150t |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4300800 |
Modular degree for the optimal curve |
Δ |
4851527711906250000 = 24 · 32 · 59 · 297 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 6 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-431450,25666500] |
[a1,a2,a3,a4,a6] |
j |
7645373/4176 |
j-invariant |
L |
3.3914460933131 |
L(r)(E,1)/r! |
Ω |
0.21196548170237 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126150dk1 4350z1 |
Quadratic twists by: 5 29 |