Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
18450o |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
2421009000000 = 26 · 310 · 56 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14967,-697059] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:98:1] |
Generators of the group modulo torsion |
j |
32553430057/212544 |
j-invariant |
L |
3.7138778326743 |
L(r)(E,1)/r! |
Ω |
0.43180269151012 |
Real period |
R |
2.1502169310744 |
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 |
6150bb1 738g1 |
Quadratic twists by: -3 5 |