Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550bz |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-2635061625000 = -1 · 23 · 311 · 56 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 3 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8442,310716] |
[a1,a2,a3,a4,a6] |
j |
-5841725401/231336 |
j-invariant |
L |
1.6078812588708 |
L(r)(E,1)/r! |
Ω |
0.80394063003219 |
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 |
17850bx1 2142o1 |
Quadratic twists by: -3 5 |