Atkin-Lehner |
2+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41650h |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-940378906250000 = -1 · 24 · 512 · 72 · 173 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 3 5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12626,1572148] |
[a1,a2,a3,a4,a6] |
j |
-290707016929/1228250000 |
j-invariant |
L |
1.7296806796366 |
L(r)(E,1)/r! |
Ω |
0.43242016989323 |
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 |
8330z2 41650e2 |
Quadratic twists by: 5 -7 |