Atkin-Lehner |
3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65025z |
Isogeny class |
Conductor |
65025 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11232 |
Modular degree for the optimal curve |
Δ |
4876875 = 33 · 54 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 -4 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-80,272] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:25:1] [-2:21:1] |
Generators of the group modulo torsion |
j |
11475 |
j-invariant |
L |
5.4902479583042 |
L(r)(E,1)/r! |
Ω |
2.3729491644876 |
Real period |
R |
0.38561353950545 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65025y1 65025g1 65025bd1 |
Quadratic twists by: -3 5 17 |