Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
97344da |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
14760465408 = 210 · 38 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 2 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1560,22984] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:216:1] |
Generators of the group modulo torsion |
j |
256000/9 |
j-invariant |
L |
8.1026050526517 |
L(r)(E,1)/r! |
Ω |
1.2393860709755 |
Real period |
R |
1.6343989279933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999871191 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344gg1 12168i1 32448bt1 97344db1 |
Quadratic twists by: -4 8 -3 13 |