Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
122400d |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
535377600000000 = 212 · 39 · 58 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -6 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56700,-5076000] |
[a1,a2,a3,a4,a6] |
Generators |
[280:1000:1] |
Generators of the group modulo torsion |
j |
16003008/425 |
j-invariant |
L |
3.6259926145504 |
L(r)(E,1)/r! |
Ω |
0.30989013656128 |
Real period |
R |
2.9252242897698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999890619 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122400cg2 122400ck2 24480x2 |
Quadratic twists by: -4 -3 5 |