Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
3894g |
Isogeny class |
Conductor |
3894 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
210276 = 22 · 34 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11- -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1095,13846] |
[a1,a2,a3,a4,a6] |
Generators |
[17:6:1] |
Generators of the group modulo torsion |
j |
145009284418153/210276 |
j-invariant |
L |
3.3532843962061 |
L(r)(E,1)/r! |
Ω |
2.6885193181918 |
Real period |
R |
0.62363033315703 |
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 |
31152n1 124608i1 11682r1 97350bu1 |
Quadratic twists by: -4 8 -3 5 |