Atkin-Lehner |
3- 5- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
32025bd |
Isogeny class |
Conductor |
32025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15872 |
Modular degree for the optimal curve |
Δ |
1482917625 = 34 · 53 · 74 · 61 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 2 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-433,-2968] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:29:1] |
Generators of the group modulo torsion |
j |
71835657893/11863341 |
j-invariant |
L |
3.8955917724935 |
L(r)(E,1)/r! |
Ω |
1.0583098813607 |
Real period |
R |
0.92023892082646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96075bx1 32025p1 |
Quadratic twists by: -3 5 |