Atkin-Lehner |
2- 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126324b |
Isogeny class |
Conductor |
126324 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-22194116208 = -1 · 24 · 33 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -4 -1 11- -5 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,363,-6655] |
[a1,a2,a3,a4,a6] |
Generators |
[16:57:1] |
Generators of the group modulo torsion |
j |
6912/29 |
j-invariant |
L |
3.5549999092491 |
L(r)(E,1)/r! |
Ω |
0.61035297586805 |
Real period |
R |
2.9122491849402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989463 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126324d1 1044d1 |
Quadratic twists by: -3 -11 |