Atkin-Lehner |
2- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
10388i |
Isogeny class |
Conductor |
10388 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
792 |
Modular degree for the optimal curve |
Δ |
41552 = 24 · 72 · 53 |
Discriminant |
Eigenvalues |
2- -2 -2 7- -3 1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9,-8] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1:1] [-1:1:1] |
Generators of the group modulo torsion |
j |
114688/53 |
j-invariant |
L |
4.1449960995625 |
L(r)(E,1)/r! |
Ω |
2.8550614052311 |
Real period |
R |
0.48393542919595 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41552bs1 93492o1 10388b1 |
Quadratic twists by: -4 -3 -7 |