Atkin-Lehner |
3+ 5+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
77025b |
Isogeny class |
Conductor |
77025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2771589371484375 = 312 · 58 · 132 · 79 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 2 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35213,215156] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:733:1] |
Generators of the group modulo torsion |
j |
309039175947529/177381719775 |
j-invariant |
L |
3.0611852287587 |
L(r)(E,1)/r! |
Ω |
0.38761613666963 |
Real period |
R |
1.9743664793404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001277 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15405f2 |
Quadratic twists by: 5 |