Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
70080cq |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-101616640080445440 = -1 · 215 · 313 · 5 · 733 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -2 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,65695,-13878465] |
[a1,a2,a3,a4,a6] |
Generators |
[658:-17739:1] |
Generators of the group modulo torsion |
j |
956894629836088/3101093752455 |
j-invariant |
L |
6.459670239892 |
L(r)(E,1)/r! |
Ω |
0.17161732450982 |
Real period |
R |
0.48256366513322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001328 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70080bw1 35040c1 |
Quadratic twists by: -4 8 |