Atkin-Lehner |
2- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
25024m |
Isogeny class |
Conductor |
25024 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
20432435032358912 = 232 · 17 · 234 |
Discriminant |
Eigenvalues |
2- -2 0 -4 -2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6345793,6150740415] |
[a1,a2,a3,a4,a6] |
Generators |
[1457:184:1] |
Generators of the group modulo torsion |
j |
107805659942195988625/77943554048 |
j-invariant |
L |
2.0598965708799 |
L(r)(E,1)/r! |
Ω |
0.31864053577935 |
Real period |
R |
1.6161601707718 |
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 |
25024b1 6256e1 |
Quadratic twists by: -4 8 |