Atkin-Lehner |
2- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
25024r |
Isogeny class |
Conductor |
25024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-27110801408 = -1 · 217 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 1 -4 -1 6 -2 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,255,-7681] |
[a1,a2,a3,a4,a6] |
Generators |
[31:176:1] |
Generators of the group modulo torsion |
j |
13935742/206839 |
j-invariant |
L |
4.4465095510151 |
L(r)(E,1)/r! |
Ω |
0.58009146797874 |
Real period |
R |
1.9162967378698 |
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 |
25024i1 6256b1 |
Quadratic twists by: -4 8 |