Atkin-Lehner |
5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
17225i |
Isogeny class |
Conductor |
17225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27840 |
Modular degree for the optimal curve |
Δ |
591301953125 = 58 · 134 · 53 |
Discriminant |
Eigenvalues |
-2 0 5- 1 3 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-14375,-662344] |
[a1,a2,a3,a4,a6] |
Generators |
[200:2112:1] |
Generators of the group modulo torsion |
j |
840983040000/1513733 |
j-invariant |
L |
2.3143847182457 |
L(r)(E,1)/r! |
Ω |
0.43605829017133 |
Real period |
R |
0.88458537555317 |
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 |
17225d1 |
Quadratic twists by: 5 |