Atkin-Lehner |
2+ 3- 37- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
18426d |
Isogeny class |
Conductor |
18426 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-37736448 = -1 · 212 · 3 · 37 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 1 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22,296] |
[a1,a2,a3,a4,a6] |
Generators |
[21:85:1] |
Generators of the group modulo torsion |
j |
-1102302937/37736448 |
j-invariant |
L |
3.9315123395929 |
L(r)(E,1)/r! |
Ω |
1.7104382373737 |
Real period |
R |
1.1492704774975 |
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 |
55278h1 |
Quadratic twists by: -3 |