Atkin-Lehner |
2- 3+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18768q |
Isogeny class |
Conductor |
18768 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-6848004476257947648 = -1 · 212 · 311 · 177 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 3 1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,242232,117163440] |
[a1,a2,a3,a4,a6] |
j |
383757181824152375/1671876092836413 |
j-invariant |
L |
2.369590939316 |
L(r)(E,1)/r! |
Ω |
0.16925649566543 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1173d1 75072dg1 56304w1 |
Quadratic twists by: -4 8 -3 |