Atkin-Lehner |
2- 3- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
71760ca |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
41979600 = 24 · 33 · 52 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-185,858] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:30:1] |
Generators of the group modulo torsion |
j |
44001181696/2623725 |
j-invariant |
L |
9.3918778719874 |
L(r)(E,1)/r! |
Ω |
2.0011409005979 |
Real period |
R |
1.5644205544034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000563 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17940c1 |
Quadratic twists by: -4 |