Atkin-Lehner |
3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9405l |
Isogeny class |
Conductor |
9405 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
651343275 = 38 · 52 · 11 · 192 |
Discriminant |
Eigenvalues |
1 3- 5- -4 11+ -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4734,-124187] |
[a1,a2,a3,a4,a6] |
j |
16096540513249/893475 |
j-invariant |
L |
1.151117438514 |
L(r)(E,1)/r! |
Ω |
0.57555871925702 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3135a2 47025w2 103455ba2 |
Quadratic twists by: -3 5 -11 |