Atkin-Lehner |
2- 3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10416q |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-37617702990249984 = -1 · 233 · 3 · 72 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 3 -1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10584,9344496] |
[a1,a2,a3,a4,a6] |
j |
-32015057794777/9184009519104 |
j-invariant |
L |
2.3760051293188 |
L(r)(E,1)/r! |
Ω |
0.29700064116485 |
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 |
1302i2 41664di2 31248bm2 72912dg2 |
Quadratic twists by: -4 8 -3 -7 |