Atkin-Lehner |
3+ 5- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
21945j |
Isogeny class |
Conductor |
21945 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
842928734565225 = 38 · 52 · 76 · 112 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 11- 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-55632,-4876749] |
[a1,a2,a3,a4,a6] |
j |
19041884642618255881/842928734565225 |
j-invariant |
L |
2.4937023215167 |
L(r)(E,1)/r! |
Ω |
0.31171279018959 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
65835k2 109725ca2 |
Quadratic twists by: -3 5 |