Atkin-Lehner |
3+ 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
21483a |
Isogeny class |
Conductor |
21483 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
-85781619 = -1 · 33 · 7 · 114 · 31 |
Discriminant |
Eigenvalues |
0 3+ -1 7+ 11+ -3 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7668,258447] |
[a1,a2,a3,a4,a6] |
Generators |
[35:181:1] |
Generators of the group modulo torsion |
j |
-1846742145564672/3177097 |
j-invariant |
L |
2.9044651123101 |
L(r)(E,1)/r! |
Ω |
1.6386485650683 |
Real period |
R |
0.44311897838037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21483d1 |
Quadratic twists by: -3 |