Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040hi |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
10321920 |
Modular degree for the optimal curve |
Δ |
7.5360089154944E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-78407660,263920143150] |
[a1,a2,a3,a4,a6] |
Generators |
[5665:39690:1] |
Generators of the group modulo torsion |
j |
7079962908642659949376/100085966990454375 |
j-invariant |
L |
6.9032495402317 |
L(r)(E,1)/r! |
Ω |
0.09016034754595 |
Real period |
R |
1.3672564111983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040fk1 23520bf3 6720bi1 |
Quadratic twists by: -4 8 -7 |