Atkin-Lehner |
5- 37+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
12395b |
Isogeny class |
Conductor |
12395 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5696 |
Modular degree for the optimal curve |
Δ |
4152325 = 52 · 37 · 672 |
Discriminant |
Eigenvalues |
-2 1 5- -1 -3 -6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1280,17206] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:167:1] [20:2:1] |
Generators of the group modulo torsion |
j |
232109475106816/4152325 |
j-invariant |
L |
3.9871242120747 |
L(r)(E,1)/r! |
Ω |
2.2660047669632 |
Real period |
R |
0.43988479969292 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111555i1 61975d1 |
Quadratic twists by: -3 5 |