Atkin-Lehner |
2- 3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224bz |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-135953664 = -1 · 28 · 3 · 7 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11- 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-236,-1428] |
[a1,a2,a3,a4,a6] |
j |
-5702413264/531069 |
j-invariant |
L |
1.8168303582245 |
L(r)(E,1)/r! |
Ω |
0.60561012582196 |
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 |
17556i1 |
Quadratic twists by: -4 |