Atkin-Lehner |
3+ 5+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
58425f |
Isogeny class |
Conductor |
58425 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6762438140625 = -1 · 34 · 56 · 194 · 41 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3775,89250] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:230:1] |
Generators of the group modulo torsion |
j |
380605258223/432796041 |
j-invariant |
L |
6.345366523884 |
L(r)(E,1)/r! |
Ω |
0.49871889137979 |
Real period |
R |
1.5904166238359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2337c4 |
Quadratic twists by: 5 |