Atkin-Lehner |
2- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
93248ba |
Isogeny class |
Conductor |
93248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
800994220834816 = 239 · 31 · 47 |
Discriminant |
Eigenvalues |
2- 1 3 1 6 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41729,-2999041] |
[a1,a2,a3,a4,a6] |
Generators |
[-185071915:821460992:1520875] |
Generators of the group modulo torsion |
j |
30655480635073/3055550464 |
j-invariant |
L |
11.749734090709 |
L(r)(E,1)/r! |
Ω |
0.3361769034153 |
Real period |
R |
8.7377612591111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93248l1 23312k1 |
Quadratic twists by: -4 8 |