Atkin-Lehner |
2- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
75140b |
Isogeny class |
Conductor |
75140 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8208 |
Modular degree for the optimal curve |
Δ |
-4808960 = -1 · 28 · 5 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -3 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17,102] |
[a1,a2,a3,a4,a6] |
Generators |
[2:12:1] |
Generators of the group modulo torsion |
j |
7344/65 |
j-invariant |
L |
3.720860288292 |
L(r)(E,1)/r! |
Ω |
1.784140272248 |
Real period |
R |
2.0855200380877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993536 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75140i1 |
Quadratic twists by: 17 |