Atkin-Lehner |
2- 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121104bj |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-3208748575526608896 = -1 · 213 · 33 · 299 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 0 2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-83259,86678506] |
[a1,a2,a3,a4,a6] |
Generators |
[2146:-73167:8] [149:8808:1] |
Generators of the group modulo torsion |
j |
-970299/48778 |
j-invariant |
L |
10.884169621167 |
L(r)(E,1)/r! |
Ω |
0.208867286759 |
Real period |
R |
1.6284517594183 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001583 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15138s1 121104bh2 4176u1 |
Quadratic twists by: -4 -3 29 |