Atkin-Lehner |
2+ 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640x |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2120368640000 = 212 · 54 · 134 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 2 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96441,-11559641] |
[a1,a2,a3,a4,a6] |
Generators |
[4514:302575:1] |
Generators of the group modulo torsion |
j |
24218842460204224/517668125 |
j-invariant |
L |
5.3325019807308 |
L(r)(E,1)/r! |
Ω |
0.27091578504341 |
Real period |
R |
4.9208113876087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000112954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640v2 60320v1 |
Quadratic twists by: -4 8 |