Atkin-Lehner |
2+ 3+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
17802b |
Isogeny class |
Conductor |
17802 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5824 |
Modular degree for the optimal curve |
Δ |
-437501952 = -1 · 214 · 33 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-66,1044] |
[a1,a2,a3,a4,a6] |
Generators |
[13:41:1] |
Generators of the group modulo torsion |
j |
-1187648379/16203776 |
j-invariant |
L |
4.2418052430618 |
L(r)(E,1)/r! |
Ω |
1.4175328209537 |
Real period |
R |
2.9923859118888 |
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 |
17802l1 |
Quadratic twists by: -3 |