Atkin-Lehner |
5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4675f |
Isogeny class |
Conductor |
4675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1296 |
Modular degree for the optimal curve |
Δ |
-4675 = -1 · 52 · 11 · 17 |
Discriminant |
Eigenvalues |
2 2 5+ -3 11+ -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-448,3803] |
[a1,a2,a3,a4,a6] |
Generators |
[804:-29:64] |
Generators of the group modulo torsion |
j |
-398645432320/187 |
j-invariant |
L |
8.5501883469715 |
L(r)(E,1)/r! |
Ω |
3.5469767599541 |
Real period |
R |
2.4105566305098 |
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 |
74800ca1 42075br1 4675t1 51425ba1 |
Quadratic twists by: -4 -3 5 -11 |