Atkin-Lehner |
2- 3- 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
61008s |
Isogeny class |
Conductor |
61008 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
358508418564096 = 220 · 38 · 31 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-678312,-215251020] |
[a1,a2,a3,a4,a6] |
Generators |
[-1045044:95490:2197] |
Generators of the group modulo torsion |
j |
8426610207705494953/87526469376 |
j-invariant |
L |
9.1062463453771 |
L(r)(E,1)/r! |
Ω |
0.16635750448538 |
Real period |
R |
6.8423771845296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7626b2 |
Quadratic twists by: -4 |