Atkin-Lehner |
2- 3+ 7+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
30954q |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
174209112 = 23 · 32 · 72 · 11 · 672 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 11+ 6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-440,-3679] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:13:1] |
Generators of the group modulo torsion |
j |
9422007154561/174209112 |
j-invariant |
L |
5.1818213767816 |
L(r)(E,1)/r! |
Ω |
1.0435632602346 |
Real period |
R |
0.82758461229853 |
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 |
92862s2 |
Quadratic twists by: -3 |