Atkin-Lehner |
3+ 5- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
21945i |
Isogeny class |
Conductor |
21945 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-783897345 = -1 · 37 · 5 · 73 · 11 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 11- -1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,228,-171] |
[a1,a2,a3,a4,a6] |
j |
1301812981559/783897345 |
j-invariant |
L |
0.92718908234432 |
L(r)(E,1)/r! |
Ω |
0.9271890823443 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65835j1 109725bz1 |
Quadratic twists by: -3 5 |