Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352ch |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-25147584 = -1 · 26 · 36 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11+ 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3216,-70198] |
[a1,a2,a3,a4,a6] |
Generators |
[122302221:89835193:1860867] |
Generators of the group modulo torsion |
j |
-78843215872/539 |
j-invariant |
L |
8.3944996910612 |
L(r)(E,1)/r! |
Ω |
0.31698621112741 |
Real period |
R |
13.241111752465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44352ec1 693c1 4928o1 |
Quadratic twists by: -4 8 -3 |