Atkin-Lehner |
3+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18411b |
Isogeny class |
Conductor |
18411 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
91200 |
Modular degree for the optimal curve |
Δ |
279770233974393 = 3 · 172 · 199 |
Discriminant |
Eigenvalues |
-1 3+ 2 0 -6 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-126177,-17284962] |
[a1,a2,a3,a4,a6] |
Generators |
[-3289650:2498037:15625] |
Generators of the group modulo torsion |
j |
688465387/867 |
j-invariant |
L |
2.7496575825663 |
L(r)(E,1)/r! |
Ω |
0.25333041152309 |
Real period |
R |
10.854036694744 |
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 |
55233i1 18411j1 |
Quadratic twists by: -3 -19 |