Atkin-Lehner |
2+ 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
25578u |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-13478251579011072 = -1 · 212 · 39 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-58662,7831732] |
[a1,a2,a3,a4,a6] |
Generators |
[149:-1618:1] [-1202:29707:8] |
Generators of the group modulo torsion |
j |
-260305116625/157151232 |
j-invariant |
L |
6.0477350266634 |
L(r)(E,1)/r! |
Ω |
0.36818808081981 |
Real period |
R |
4.106416897851 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8526m1 3654m1 |
Quadratic twists by: -3 -7 |