Atkin-Lehner |
2+ 3- 5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
63630x |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-843302388600 = -1 · 23 · 310 · 52 · 7 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1836,31720] |
[a1,a2,a3,a4,a6] |
Generators |
[5:200:1] |
Generators of the group modulo torsion |
j |
938601300671/1156793400 |
j-invariant |
L |
4.3567779044363 |
L(r)(E,1)/r! |
Ω |
0.59684161820207 |
Real period |
R |
1.8249305057767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210t2 |
Quadratic twists by: -3 |