Atkin-Lehner |
2- 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
2652b |
Isogeny class |
Conductor |
2652 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
43821648 = 24 · 36 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 2 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-157,742] |
[a1,a2,a3,a4,a6] |
Generators |
[3:17:1] |
Generators of the group modulo torsion |
j |
26919436288/2738853 |
j-invariant |
L |
2.8808124449853 |
L(r)(E,1)/r! |
Ω |
1.9677292389062 |
Real period |
R |
0.48800962856501 |
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 |
10608w1 42432bg1 7956b1 66300bb1 |
Quadratic twists by: -4 8 -3 5 |