Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488ff |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
36639083593728 = 220 · 33 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17313,832833] |
[a1,a2,a3,a4,a6] |
Generators |
[637:15744:1] |
Generators of the group modulo torsion |
j |
18609625/1188 |
j-invariant |
L |
5.1809162545745 |
L(r)(E,1)/r! |
Ω |
0.63909495842529 |
Real period |
R |
4.053322735842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007489 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488ds1 25872cw1 2112x1 |
Quadratic twists by: -4 8 -7 |