Atkin-Lehner |
2+ 7- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
13202d |
Isogeny class |
Conductor |
13202 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
833204624 = 24 · 74 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 0 6 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2082,-36700] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:16:1] |
Generators of the group modulo torsion |
j |
997392270041497/833204624 |
j-invariant |
L |
2.2481686429037 |
L(r)(E,1)/r! |
Ω |
0.7068481795624 |
Real period |
R |
0.79513844270473 |
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 |
105616q1 118818bk1 92414c1 |
Quadratic twists by: -4 -3 -7 |