Atkin-Lehner |
3- 5+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
52065i |
Isogeny class |
Conductor |
52065 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-9223158555 = -1 · 313 · 5 · 13 · 89 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 5 13- -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,402,3424] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:239:8] |
Generators of the group modulo torsion |
j |
9855401984/12651795 |
j-invariant |
L |
5.4049780899985 |
L(r)(E,1)/r! |
Ω |
0.87210527335776 |
Real period |
R |
1.5494052882927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17355f1 |
Quadratic twists by: -3 |