Atkin-Lehner |
3+ 5- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
40545d |
Isogeny class |
Conductor |
40545 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23808 |
Modular degree for the optimal curve |
Δ |
4394064375 = 33 · 54 · 173 · 53 |
Discriminant |
Eigenvalues |
-1 3+ 5- -3 2 -3 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-872,9596] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:139:1] [-14:144:1] |
Generators of the group modulo torsion |
j |
2712953829123/162743125 |
j-invariant |
L |
5.9963036574595 |
L(r)(E,1)/r! |
Ω |
1.3580122805864 |
Real period |
R |
0.18397917993761 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40545a1 |
Quadratic twists by: -3 |