Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24480o |
Isogeny class |
Conductor |
24480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1747472486400 = -1 · 212 · 310 · 52 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2868,23456] |
[a1,a2,a3,a4,a6] |
Generators |
[26:340:1] |
Generators of the group modulo torsion |
j |
873722816/585225 |
j-invariant |
L |
6.9408366799469 |
L(r)(E,1)/r! |
Ω |
0.52673749816102 |
Real period |
R |
1.6471289551672 |
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 |
24480bh2 48960bq1 8160h2 122400dv2 |
Quadratic twists by: -4 8 -3 5 |