Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488cx |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-12272661789696 = -1 · 210 · 33 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11+ -7 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5945,242031] |
[a1,a2,a3,a4,a6] |
Generators |
[114:1029:1] |
Generators of the group modulo torsion |
j |
-562432/297 |
j-invariant |
L |
7.9087552114023 |
L(r)(E,1)/r! |
Ω |
0.66279690648948 |
Real period |
R |
1.9887326822196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488gc1 6468g1 103488p1 |
Quadratic twists by: -4 8 -7 |