Atkin-Lehner |
2- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
71944f |
Isogeny class |
Conductor |
71944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-45242991616 = -1 · 210 · 174 · 232 |
Discriminant |
Eigenvalues |
2- -2 1 -2 -2 -1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,560,-8688] |
[a1,a2,a3,a4,a6] |
Generators |
[16:68:1] [1376:51068:1] |
Generators of the group modulo torsion |
j |
35789564/83521 |
j-invariant |
L |
7.3576356105835 |
L(r)(E,1)/r! |
Ω |
0.58844998451214 |
Real period |
R |
1.5629271400154 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998618 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71944c1 |
Quadratic twists by: -23 |