Atkin-Lehner |
2- 3+ 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080bg |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
77694713015040 = 28 · 36 · 5 · 116 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-913236,-335605284] |
[a1,a2,a3,a4,a6] |
Generators |
[23609436693154301041394:-5727169133457357164866357:401101489154344168] |
Generators of the group modulo torsion |
j |
329028328980050845264/303494972715 |
j-invariant |
L |
5.8708411575029 |
L(r)(E,1)/r! |
Ω |
0.15443786291317 |
Real period |
R |
38.014260667998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999654447 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31020k2 |
Quadratic twists by: -4 |