Atkin-Lehner |
3- 5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58905v |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1721629699853765625 = 312 · 56 · 72 · 114 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11- -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-778073,256707456] |
[a1,a2,a3,a4,a6] |
Generators |
[-454:22947:1] |
Generators of the group modulo torsion |
j |
71458960736598732361/2361631961390625 |
j-invariant |
L |
2.318101166245 |
L(r)(E,1)/r! |
Ω |
0.26385249808986 |
Real period |
R |
1.0981993646202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000859 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19635j2 |
Quadratic twists by: -3 |