Atkin-Lehner |
2- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
75140c |
Isogeny class |
Conductor |
75140 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23328 |
Modular degree for the optimal curve |
Δ |
-1562912000 = -1 · 28 · 53 · 132 · 172 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 0 13- 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-436,4136] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-26:1] |
Generators of the group modulo torsion |
j |
-124176976/21125 |
j-invariant |
L |
5.3020997578616 |
L(r)(E,1)/r! |
Ω |
1.4484984346279 |
Real period |
R |
0.61006851780743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990617 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75140j1 |
Quadratic twists by: 17 |