Atkin-Lehner |
7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
17689h |
Isogeny class |
Conductor |
17689 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16136737183 = 73 · 196 |
Discriminant |
Eigenvalues |
-1 0 0 7- 4 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13425,602018] |
[a1,a2,a3,a4,a6] |
Generators |
[24:529:1] |
Generators of the group modulo torsion |
j |
16581375 |
j-invariant |
L |
3.0364060668947 |
L(r)(E,1)/r! |
Ω |
1.1734756978966 |
Real period |
R |
1.2937660627899 |
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 |
17689h4 49a2 |
Quadratic twists by: -7 -19 |