Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10416v |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
35709714432 = 216 · 34 · 7 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 6 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9464,-351120] |
[a1,a2,a3,a4,a6] |
Generators |
[170:1710:1] |
Generators of the group modulo torsion |
j |
22889370414457/8718192 |
j-invariant |
L |
3.5122637964071 |
L(r)(E,1)/r! |
Ω |
0.48404637837357 |
Real period |
R |
3.6280240420438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1302g2 41664dp2 31248bs2 72912ck2 |
Quadratic twists by: -4 8 -3 -7 |