Atkin-Lehner |
2- 3- 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20010y |
Isogeny class |
Conductor |
20010 |
Conductor |
∏ cp |
1080 |
Product of Tamagawa factors cp |
Δ |
864864216000000 = 29 · 35 · 56 · 232 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-661815,207170217] |
[a1,a2,a3,a4,a6] |
Generators |
[324:5013:1] |
Generators of the group modulo torsion |
j |
32057789414709210712561/864864216000000 |
j-invariant |
L |
9.689064676453 |
L(r)(E,1)/r! |
Ω |
0.46428975896332 |
Real period |
R |
0.077291010699288 |
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 |
60030j2 100050b2 |
Quadratic twists by: -3 5 |