Atkin-Lehner |
3+ 5+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
17385d |
Isogeny class |
Conductor |
17385 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11596403475 = 38 · 52 · 19 · 612 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -2 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-616,2534] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:55:1] [-12:97:1] |
Generators of the group modulo torsion |
j |
25852938427009/11596403475 |
j-invariant |
L |
3.8140671841395 |
L(r)(E,1)/r! |
Ω |
1.1432898056757 |
Real period |
R |
1.6680229130028 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52155l2 86925k2 |
Quadratic twists by: -3 5 |