Atkin-Lehner |
2+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
25024i |
Isogeny class |
Conductor |
25024 |
Conductor |
∏ cp |
12 |
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 |
[49:368:1] |
Generators of the group modulo torsion |
j |
13935742/206839 |
j-invariant |
L |
1.806630694228 |
L(r)(E,1)/r! |
Ω |
0.8803313457183 |
Real period |
R |
0.17101805880772 |
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 |
25024r1 3128c1 |
Quadratic twists by: -4 8 |