Atkin-Lehner |
3+ 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
32025n |
Isogeny class |
Conductor |
32025 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
136800 |
Modular degree for the optimal curve |
Δ |
-32438823046875 = -1 · 34 · 58 · 75 · 61 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- -6 4 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-79833,-8659807] |
[a1,a2,a3,a4,a6] |
Generators |
[417:5512:1] |
Generators of the group modulo torsion |
j |
-144051062702080/83043387 |
j-invariant |
L |
3.3360932965297 |
L(r)(E,1)/r! |
Ω |
0.14200658280985 |
Real period |
R |
0.7830841900705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96075cd1 32025r1 |
Quadratic twists by: -3 5 |