Atkin-Lehner |
2+ 5- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
107120g |
Isogeny class |
Conductor |
107120 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
18646378400000000 = 211 · 58 · 133 · 1032 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72280,3551028] |
[a1,a2,a3,a4,a6] |
Generators |
[26:1300:1] |
Generators of the group modulo torsion |
j |
20391736001822642/9104676953125 |
j-invariant |
L |
4.2468520694164 |
L(r)(E,1)/r! |
Ω |
0.34768699135722 |
Real period |
R |
0.25447050619729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010243 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53560c2 |
Quadratic twists by: -4 |