Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
30258s |
Isogeny class |
Conductor |
30258 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
567903462636996 = 22 · 36 · 417 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -2 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23009,-694227] |
[a1,a2,a3,a4,a6] |
Generators |
[-3183640:38066097:64000] |
Generators of the group modulo torsion |
j |
389017/164 |
j-invariant |
L |
10.675460282366 |
L(r)(E,1)/r! |
Ω |
0.40251188330251 |
Real period |
R |
6.6305249144302 |
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 |
3362b1 738i1 |
Quadratic twists by: -3 41 |