Atkin-Lehner |
2+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
51040f |
Isogeny class |
Conductor |
51040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-43477913600 = -1 · 212 · 52 · 114 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 11- 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-652,11904] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:132:1] |
Generators of the group modulo torsion |
j |
-7483530816/10614725 |
j-invariant |
L |
5.4587778355151 |
L(r)(E,1)/r! |
Ω |
1.0266086260815 |
Real period |
R |
0.66466150010768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51040b2 102080bb1 |
Quadratic twists by: -4 8 |