Atkin-Lehner |
5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
10325d |
Isogeny class |
Conductor |
10325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-32265625 = -1 · 57 · 7 · 59 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- -3 -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1,273] |
[a1,a2,a3,a4,a6] |
Generators |
[7:21:1] |
Generators of the group modulo torsion |
j |
-1/2065 |
j-invariant |
L |
3.1262094626032 |
L(r)(E,1)/r! |
Ω |
1.65337431788 |
Real period |
R |
0.94540281314268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92925o1 2065b1 72275g1 |
Quadratic twists by: -3 5 -7 |