Atkin-Lehner |
2+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
25024b |
Isogeny class |
Conductor |
25024 |
Conductor |
∏ cp |
8 |
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 |
[1566167357215971123060243279405:648302115891726607775385020309504:9138243479203877040100125] |
Generators of the group modulo torsion |
j |
107805659942195988625/77943554048 |
j-invariant |
L |
8.7266257424744 |
L(r)(E,1)/r! |
Ω |
0.095121369089586 |
Real period |
R |
45.871005779236 |
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 |
25024m1 782c1 |
Quadratic twists by: -4 8 |