Atkin-Lehner |
2+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17914a |
Isogeny class |
Conductor |
17914 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-183961815934208 = -1 · 28 · 136 · 533 |
Discriminant |
Eigenvalues |
2+ 1 0 4 0 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4157911,-3263675270] |
[a1,a2,a3,a4,a6] |
Generators |
[146345097189855541350683514753:15745990861572107007006971318260:12143059478357927150426823] |
Generators of the group modulo torsion |
j |
-1646982616152408625/38112512 |
j-invariant |
L |
4.9278503817588 |
L(r)(E,1)/r! |
Ω |
0.052862874353759 |
Real period |
R |
46.609746840303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106c2 |
Quadratic twists by: 13 |