Atkin-Lehner |
2+ 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966d |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1827840 |
Modular degree for the optimal curve |
Δ |
-33410541920845824 = -1 · 217 · 32 · 78 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 2 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1212726,-514615212] |
[a1,a2,a3,a4,a6] |
Generators |
[183555:3602994:125] |
Generators of the group modulo torsion |
j |
-6964360655609/1179648 |
j-invariant |
L |
5.4470077107951 |
L(r)(E,1)/r! |
Ω |
0.071932379516141 |
Real period |
R |
6.3103335649307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966ci1 84966bq1 |
Quadratic twists by: -7 17 |