Atkin-Lehner |
3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
23925t |
Isogeny class |
Conductor |
23925 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
27456 |
Modular degree for the optimal curve |
Δ |
-368727051825 = -1 · 313 · 52 · 11 · 292 |
Discriminant |
Eigenvalues |
1 3- 5+ 3 11+ -4 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,634,28613] |
[a1,a2,a3,a4,a6] |
Generators |
[81:742:1] |
Generators of the group modulo torsion |
j |
1129889057855/14749082073 |
j-invariant |
L |
8.0468767307241 |
L(r)(E,1)/r! |
Ω |
0.70606055731322 |
Real period |
R |
0.43834095484915 |
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 |
71775bi1 23925n1 |
Quadratic twists by: -3 5 |