Atkin-Lehner |
2- 3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078ct |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-11933425366130268 = -1 · 22 · 36 · 72 · 113 · 137 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,39627,4293405] |
[a1,a2,a3,a4,a6] |
Generators |
[294:19119:8] |
Generators of the group modulo torsion |
j |
1425727406375/2472321852 |
j-invariant |
L |
11.715394499996 |
L(r)(E,1)/r! |
Ω |
0.27522587420213 |
Real period |
R |
3.5472060098625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995921 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006r1 |
Quadratic twists by: 13 |