Atkin-Lehner |
2- 3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
119130bt |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
9734263237710000 = 24 · 32 · 54 · 112 · 197 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11+ -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-637393340,-6193884746400] |
[a1,a2,a3,a4,a6] |
Generators |
[3974457410:-1161427101304:42875] |
Generators of the group modulo torsion |
j |
608729950623321661295881/206910000 |
j-invariant |
L |
16.946066145669 |
L(r)(E,1)/r! |
Ω |
0.030046761819297 |
Real period |
R |
17.624680117649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026736 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270b4 |
Quadratic twists by: -19 |