Atkin-Lehner |
2+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10472a |
Isogeny class |
Conductor |
10472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
438651136 = 28 · 72 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 11- -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-199,-390] |
[a1,a2,a3,a4,a6] |
j |
3404418768/1713481 |
j-invariant |
L |
1.3399581531744 |
L(r)(E,1)/r! |
Ω |
1.3399581531744 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20944d2 83776a2 94248u2 73304s2 |
Quadratic twists by: -4 8 -3 -7 |