Atkin-Lehner |
3+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58305b |
Isogeny class |
Conductor |
58305 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.9434621726537E+21 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 -2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4869738,3206549793] |
[a1,a2,a3,a4,a6] |
Generators |
[1156336994:11592147803:636056] |
Generators of the group modulo torsion |
j |
2645943253854280561/609815340249375 |
j-invariant |
L |
4.0221701379111 |
L(r)(E,1)/r! |
Ω |
0.13436087082895 |
Real period |
R |
14.967788288966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000332 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4485b2 |
Quadratic twists by: 13 |