Atkin-Lehner |
3- 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
9435g |
Isogeny class |
Conductor |
9435 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1088 |
Modular degree for the optimal curve |
Δ |
254745 = 34 · 5 · 17 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-69,211] |
[a1,a2,a3,a4,a6] |
Generators |
[1:11:1] |
Generators of the group modulo torsion |
j |
35578826569/254745 |
j-invariant |
L |
5.8673433525476 |
L(r)(E,1)/r! |
Ω |
3.128697334117 |
Real period |
R |
1.875331080628 |
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 |
28305m1 47175c1 |
Quadratic twists by: -3 5 |