Atkin-Lehner |
2+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
25024a |
Isogeny class |
Conductor |
25024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-819986432 = -1 · 221 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ -1 4 3 -6 -6 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3841,-90367] |
[a1,a2,a3,a4,a6] |
Generators |
[3099:26560:27] |
Generators of the group modulo torsion |
j |
-23912763841/3128 |
j-invariant |
L |
5.5913176385296 |
L(r)(E,1)/r! |
Ω |
0.30321148820303 |
Real period |
R |
4.6100806335427 |
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 |
25024l1 782b1 |
Quadratic twists by: -4 8 |