Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150bc |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
11671841070450 = 2 · 32 · 52 · 1110 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11- 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7626,196018] |
[a1,a2,a3,a4,a6] |
Generators |
[26:111:1] |
Generators of the group modulo torsion |
j |
75625/18 |
j-invariant |
L |
5.0424486158215 |
L(r)(E,1)/r! |
Ω |
0.67253666421909 |
Real period |
R |
3.7488280446959 |
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 |
54450fw1 18150ck1 18150cw1 |
Quadratic twists by: -3 5 -11 |