Atkin-Lehner |
3+ 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
25155a |
Isogeny class |
Conductor |
25155 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
6611855787225 = 39 · 52 · 132 · 433 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45308,-3698594] |
[a1,a2,a3,a4,a6] |
Generators |
[2035:90242:1] |
Generators of the group modulo torsion |
j |
522574373827323/335917075 |
j-invariant |
L |
3.4191423636267 |
L(r)(E,1)/r! |
Ω |
0.32724523955906 |
Real period |
R |
5.2241284979939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25155e1 125775i1 |
Quadratic twists by: -3 5 |