Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360y |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-72795318750000 = -1 · 24 · 32 · 58 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8591,515166] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:904:1] |
Generators of the group modulo torsion |
j |
-37256083456/38671875 |
j-invariant |
L |
5.5659982313556 |
L(r)(E,1)/r! |
Ω |
0.55872785133427 |
Real period |
R |
4.9809565247272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999246409 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680cp1 2640m1 |
Quadratic twists by: -4 -7 |