Atkin-Lehner |
3+ 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23265j |
Isogeny class |
Conductor |
23265 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-6360069375 = -1 · 39 · 54 · 11 · 47 |
Discriminant |
Eigenvalues |
1 3+ 5- -2 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,66,3815] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:461:8] |
Generators of the group modulo torsion |
j |
1601613/323125 |
j-invariant |
L |
6.1188168479473 |
L(r)(E,1)/r! |
Ω |
1.033907230522 |
Real period |
R |
2.959074405959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23265b1 116325i1 |
Quadratic twists by: -3 5 |