Atkin-Lehner |
3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
63063x |
Isogeny class |
Conductor |
63063 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-1.5991801507291E+20 |
Discriminant |
Eigenvalues |
0 3- -1 7- 11- 13- 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7003668,7159952385] |
[a1,a2,a3,a4,a6] |
Generators |
[1967:-31532:1] |
Generators of the group modulo torsion |
j |
-442980486619070464/1864582578859 |
j-invariant |
L |
5.0448691910721 |
L(r)(E,1)/r! |
Ω |
0.18283002022536 |
Real period |
R |
0.34491526506233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7007b1 9009g1 |
Quadratic twists by: -3 -7 |