Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14450d |
Isogeny class |
Conductor |
14450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-125772800 = -1 · 210 · 52 · 173 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 0 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,104,358] |
[a1,a2,a3,a4,a6] |
Generators |
[41:251:1] |
Generators of the group modulo torsion |
j |
1026895/1024 |
j-invariant |
L |
3.448565481492 |
L(r)(E,1)/r! |
Ω |
1.2226756683609 |
Real period |
R |
0.70512679092469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115600br1 14450bj2 14450f1 |
Quadratic twists by: -4 5 17 |