Atkin-Lehner |
2+ 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129850y |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
833280 |
Modular degree for the optimal curve |
Δ |
-4404512000000000 = -1 · 214 · 59 · 72 · 532 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -4 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-35200,-4096000] |
[a1,a2,a3,a4,a6] |
Generators |
[8960:843520:1] |
Generators of the group modulo torsion |
j |
-50401662437/46022656 |
j-invariant |
L |
3.074335969216 |
L(r)(E,1)/r! |
Ω |
0.16793186146665 |
Real period |
R |
2.2883806136992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999994782433 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129850di1 129850s1 |
Quadratic twists by: 5 -7 |