Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360fh |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
1346370600960 = 216 · 32 · 5 · 73 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15080,715632] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:1056:1] |
Generators of the group modulo torsion |
j |
269961894847/958320 |
j-invariant |
L |
6.6601241811188 |
L(r)(E,1)/r! |
Ω |
0.86042624149815 |
Real period |
R |
0.64504117936136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998352669 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170y1 129360gh1 |
Quadratic twists by: -4 -7 |