Atkin-Lehner |
5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
25025h |
Isogeny class |
Conductor |
25025 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-178268111505859375 = -1 · 59 · 74 · 113 · 134 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 11+ 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,17645,20289522] |
[a1,a2,a3,a4,a6] |
Generators |
[-171:3585:1] |
Generators of the group modulo torsion |
j |
38885863610439/11409159136375 |
j-invariant |
L |
3.2557931906841 |
L(r)(E,1)/r! |
Ω |
0.24847635852729 |
Real period |
R |
3.2757575106754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5005b1 |
Quadratic twists by: 5 |