Atkin-Lehner |
3+ 5+ 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
105225a |
Isogeny class |
Conductor |
105225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1069056 |
Modular degree for the optimal curve |
Δ |
-334493299248046875 = -1 · 38 · 510 · 23 · 613 |
Discriminant |
Eigenvalues |
0 3+ 5+ -3 -1 -3 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-161033,-37268407] |
[a1,a2,a3,a4,a6] |
Generators |
[3077:169087:1] |
Generators of the group modulo torsion |
j |
-29556365902741504/21407571151875 |
j-invariant |
L |
1.9880525507772 |
L(r)(E,1)/r! |
Ω |
0.11549544494779 |
Real period |
R |
4.3033137600179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000465 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21045f1 |
Quadratic twists by: 5 |