Atkin-Lehner |
3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
13725k |
Isogeny class |
Conductor |
13725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-16675875 = -1 · 37 · 53 · 61 |
Discriminant |
Eigenvalues |
0 3- 5- -3 -4 -4 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,60,81] |
[a1,a2,a3,a4,a6] |
Generators |
[5:22:1] |
Generators of the group modulo torsion |
j |
262144/183 |
j-invariant |
L |
2.7856239477883 |
L(r)(E,1)/r! |
Ω |
1.3896346675458 |
Real period |
R |
0.25057160821159 |
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 |
4575h1 13725j1 |
Quadratic twists by: -3 5 |