Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488fu |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6598456221301604352 = 217 · 38 · 78 · 113 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11+ -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11093665,-14217766079] |
[a1,a2,a3,a4,a6] |
Generators |
[66208:17013807:1] |
Generators of the group modulo torsion |
j |
9791533777258802/427901859 |
j-invariant |
L |
2.9555518265874 |
L(r)(E,1)/r! |
Ω |
0.082724076660994 |
Real period |
R |
8.9319577941863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999370381 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488en2 25872z2 14784cn2 |
Quadratic twists by: -4 8 -7 |