Atkin-Lehner |
3+ 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
32025l |
Isogeny class |
Conductor |
32025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73600 |
Modular degree for the optimal curve |
Δ |
-49245943359375 = -1 · 310 · 59 · 7 · 61 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 0 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9013,467906] |
[a1,a2,a3,a4,a6] |
Generators |
[6:640:1] |
Generators of the group modulo torsion |
j |
-41457661181/25213923 |
j-invariant |
L |
2.7826337055848 |
L(r)(E,1)/r! |
Ω |
0.58758259512509 |
Real period |
R |
4.7357320122669 |
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 |
96075by1 32025bh1 |
Quadratic twists by: -3 5 |