Atkin-Lehner |
2- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
17200bb |
Isogeny class |
Conductor |
17200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-151470080000 = -1 · 217 · 54 · 432 |
Discriminant |
Eigenvalues |
2- 3 5- 0 -3 0 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1325,2450] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1376:27] |
Generators of the group modulo torsion |
j |
100491975/59168 |
j-invariant |
L |
8.4175125334469 |
L(r)(E,1)/r! |
Ω |
0.62451224210343 |
Real period |
R |
1.6848173594435 |
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 |
2150i1 68800el1 17200z1 |
Quadratic twists by: -4 8 5 |