Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
84474bw |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-2055126722688 = -1 · 27 · 36 · 132 · 194 |
Discriminant |
Eigenvalues |
2- 3- -4 2 -3 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-929282,-344569215] |
[a1,a2,a3,a4,a6] |
Generators |
[4281:270111:1] |
Generators of the group modulo torsion |
j |
-934165699635529/21632 |
j-invariant |
L |
7.8530319068914 |
L(r)(E,1)/r! |
Ω |
0.076883423519435 |
Real period |
R |
7.2958620349213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9386a1 84474be1 |
Quadratic twists by: -3 -19 |