Atkin-Lehner |
3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
65025q |
Isogeny class |
Conductor |
65025 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
940032 |
Modular degree for the optimal curve |
Δ |
-2145372401737546875 = -1 · 39 · 56 · 178 |
Discriminant |
Eigenvalues |
1 3+ 5+ -1 6 -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-207267,79331516] |
[a1,a2,a3,a4,a6] |
j |
-459 |
j-invariant |
L |
2.7770813734887 |
L(r)(E,1)/r! |
Ω |
0.2314234478317 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65025t1 2601f1 65025e1 |
Quadratic twists by: -3 5 17 |