Atkin-Lehner |
2+ 3+ 7+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
29274c |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2277331221752004768 = -1 · 25 · 3 · 7 · 1710 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1209210,-517429068] |
[a1,a2,a3,a4,a6] |
j |
-195537232207243400307625/2277331221752004768 |
j-invariant |
L |
0.28774169818247 |
L(r)(E,1)/r! |
Ω |
0.071935424545192 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87822bf2 |
Quadratic twists by: -3 |