Atkin-Lehner |
3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65025f |
Isogeny class |
Conductor |
65025 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-14714488352109375 = -1 · 33 · 57 · 178 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-120567,-17107784] |
[a1,a2,a3,a4,a6] |
Generators |
[667084:8904358:1331] |
Generators of the group modulo torsion |
j |
-19034163/1445 |
j-invariant |
L |
8.9708200567811 |
L(r)(E,1)/r! |
Ω |
0.12754775305316 |
Real period |
R |
8.7916288626932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998559 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65025j1 13005b1 3825c1 |
Quadratic twists by: -3 5 17 |