Atkin-Lehner |
2+ 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
14350i |
Isogeny class |
Conductor |
14350 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3168 |
Modular degree for the optimal curve |
Δ |
-35157500 = -1 · 22 · 54 · 73 · 41 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 0 5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,74,148] |
[a1,a2,a3,a4,a6] |
Generators |
[17:71:1] |
Generators of the group modulo torsion |
j |
73105175/56252 |
j-invariant |
L |
4.4980671513411 |
L(r)(E,1)/r! |
Ω |
1.3235570879614 |
Real period |
R |
1.6992342802037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
114800ce1 129150dy1 14350j1 100450bc1 |
Quadratic twists by: -4 -3 5 -7 |