Atkin-Lehner |
3+ 5+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
21165a |
Isogeny class |
Conductor |
21165 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-3749316255 = -1 · 312 · 5 · 17 · 83 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 0 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-96,2928] |
[a1,a2,a3,a4,a6] |
Generators |
[8:48:1] |
Generators of the group modulo torsion |
j |
-97908438529/3749316255 |
j-invariant |
L |
1.8321452047537 |
L(r)(E,1)/r! |
Ω |
1.1639480459969 |
Real period |
R |
3.148156330611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63495k1 105825d1 |
Quadratic twists by: -3 5 |