Atkin-Lehner |
2- 7- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
113386ba |
Isogeny class |
Conductor |
113386 |
Conductor |
∏ cp |
1344 |
Product of Tamagawa factors cp |
deg |
24772608 |
Modular degree for the optimal curve |
Δ |
-6.3587470306872E+23 |
Discriminant |
Eigenvalues |
2- -3 1 7- -2 13- -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11609457,41279312673] |
[a1,a2,a3,a4,a6] |
Generators |
[-2833:-225356:1] |
Generators of the group modulo torsion |
j |
-1470859395018611591889/5404845796128456704 |
j-invariant |
L |
5.4748675588617 |
L(r)(E,1)/r! |
Ω |
0.079751710314464 |
Real period |
R |
0.051078054159779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999828035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2314d1 |
Quadratic twists by: -7 |