Atkin-Lehner |
2- 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
10998p |
Isogeny class |
Conductor |
10998 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
35323023760128 = 28 · 37 · 134 · 472 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35375,-2536009] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:172:1] |
Generators of the group modulo torsion |
j |
6715432988979625/48454079232 |
j-invariant |
L |
6.9968330345058 |
L(r)(E,1)/r! |
Ω |
0.34826937062471 |
Real period |
R |
0.31391079832272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87984bk2 3666i2 |
Quadratic twists by: -4 -3 |