Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17400bp |
Isogeny class |
Conductor |
17400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
287616 |
Modular degree for the optimal curve |
Δ |
-1788467175717120000 = -1 · 211 · 34 · 54 · 297 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-286208,87158688] |
[a1,a2,a3,a4,a6] |
j |
-2025632080681250/1397239981029 |
j-invariant |
L |
2.9270116900588 |
L(r)(E,1)/r! |
Ω |
0.24391764083823 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34800q1 52200bj1 17400c1 |
Quadratic twists by: -4 -3 5 |