Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488fh |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-160429598543993856 = -1 · 210 · 3 · 715 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11+ 3 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-325425,74115273] |
[a1,a2,a3,a4,a6] |
Generators |
[47864:10470761:1] |
Generators of the group modulo torsion |
j |
-31636584484096/1331669031 |
j-invariant |
L |
5.7128512849715 |
L(r)(E,1)/r! |
Ω |
0.32071826818908 |
Real period |
R |
4.4531695197335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003446 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488du1 25872u1 14784cj1 |
Quadratic twists by: -4 8 -7 |