Atkin-Lehner |
5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4235f |
Isogeny class |
Conductor |
4235 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
46585 = 5 · 7 · 113 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12,14] |
[a1,a2,a3,a4,a6] |
Generators |
[4:2:1] |
Generators of the group modulo torsion |
j |
132651/35 |
j-invariant |
L |
2.4855601158704 |
L(r)(E,1)/r! |
Ω |
3.3516341975497 |
Real period |
R |
1.4831929556558 |
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 |
67760bv1 38115q1 21175a1 29645b1 |
Quadratic twists by: -4 -3 5 -7 |