Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360eb |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-515878296999690240 = -1 · 228 · 33 · 5 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,199904,3202816] |
[a1,a2,a3,a4,a6] |
Generators |
[33:3136:1] |
Generators of the group modulo torsion |
j |
1833318007919/1070530560 |
j-invariant |
L |
2.9863435880818 |
L(r)(E,1)/r! |
Ω |
0.17745062534857 |
Real period |
R |
4.2072880767774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999567991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170cb1 2640v1 |
Quadratic twists by: -4 -7 |