Atkin-Lehner |
3+ 5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19635m |
Isogeny class |
Conductor |
19635 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
51655131348975 = 34 · 52 · 7 · 118 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1285505,-561530248] |
[a1,a2,a3,a4,a6] |
j |
234933551390769872069521/51655131348975 |
j-invariant |
L |
1.134282164039 |
L(r)(E,1)/r! |
Ω |
0.14178527050488 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58905y6 98175u6 |
Quadratic twists by: -3 5 |