Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
30258u |
Isogeny class |
Conductor |
30258 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3818582882771161104 = 24 · 36 · 419 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 6 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-52944251,148291070811] |
[a1,a2,a3,a4,a6] |
Generators |
[9235161:-5047284:2197] |
Generators of the group modulo torsion |
j |
68769820673/16 |
j-invariant |
L |
7.8521873483867 |
L(r)(E,1)/r! |
Ω |
0.19758536133578 |
Real period |
R |
9.9351835774952 |
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 |
3362a2 30258t2 |
Quadratic twists by: -3 41 |