Atkin-Lehner |
2+ 3+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
30258c |
Isogeny class |
Conductor |
30258 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
289296 |
Modular degree for the optimal curve |
Δ |
-314334566569577286 = -1 · 2 · 39 · 418 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -1 4 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-116304,31024142] |
[a1,a2,a3,a4,a6] |
j |
-1107/2 |
j-invariant |
L |
1.6390815519507 |
L(r)(E,1)/r! |
Ω |
0.27318025865852 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30258k1 30258a1 |
Quadratic twists by: -3 41 |