Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
18450k |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-1072186203307500000 = -1 · 25 · 321 · 57 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -6 4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,27333,-49795259] |
[a1,a2,a3,a4,a6] |
Generators |
[509:9533:1] |
Generators of the group modulo torsion |
j |
198257271191/94128829920 |
j-invariant |
L |
3.6576081400033 |
L(r)(E,1)/r! |
Ω |
0.12923143915142 |
Real period |
R |
3.5378466764941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6150t1 3690u1 |
Quadratic twists by: -3 5 |