Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11172h |
Isogeny class |
Conductor |
11172 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-6.9395857519423E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 6 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2148291,370151370] |
[a1,a2,a3,a4,a6] |
Generators |
[17228901534854:1454472419340122:2532139147] |
Generators of the group modulo torsion |
j |
582498235727347712/368659410191667 |
j-invariant |
L |
3.5077471241478 |
L(r)(E,1)/r! |
Ω |
0.10004232328612 |
Real period |
R |
17.531315791797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44688dr1 33516j1 1596c1 |
Quadratic twists by: -4 -3 -7 |