Atkin-Lehner |
2+ 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
9198c |
Isogeny class |
Conductor |
9198 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14720 |
Modular degree for the optimal curve |
Δ |
-10733017428 = -1 · 22 · 37 · 75 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36702,-2697192] |
[a1,a2,a3,a4,a6] |
Generators |
[222:132:1] |
Generators of the group modulo torsion |
j |
-7500185978118625/14722932 |
j-invariant |
L |
3.0084665777192 |
L(r)(E,1)/r! |
Ω |
0.17246323194227 |
Real period |
R |
4.3610260341263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73584bf1 3066h1 64386n1 |
Quadratic twists by: -4 -3 -7 |