Atkin-Lehner |
3+ 5+ 23+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
122475a |
Isogeny class |
Conductor |
122475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-27396968578125 = -1 · 3 · 56 · 23 · 714 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6575,148750] |
[a1,a2,a3,a4,a6] |
Generators |
[15540:249305:64] |
Generators of the group modulo torsion |
j |
2011350448367/1753405989 |
j-invariant |
L |
5.9308141533141 |
L(r)(E,1)/r! |
Ω |
0.43340771217988 |
Real period |
R |
6.8420727875471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998760308 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4899d4 |
Quadratic twists by: 5 |