Atkin-Lehner |
3+ 7+ 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
18249a |
Isogeny class |
Conductor |
18249 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4128 |
Modular degree for the optimal curve |
Δ |
-4434507 = -1 · 36 · 7 · 11 · 79 |
Discriminant |
Eigenvalues |
-2 3+ 2 7+ 11+ 3 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-22,-102] |
[a1,a2,a3,a4,a6] |
Generators |
[13:40:1] |
Generators of the group modulo torsion |
j |
-1231925248/4434507 |
j-invariant |
L |
2.2803854891021 |
L(r)(E,1)/r! |
Ω |
1.0068797234326 |
Real period |
R |
1.1324021310748 |
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 |
54747j1 127743z1 |
Quadratic twists by: -3 -7 |