Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150ba |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
1004807254687500000 = 25 · 3 · 511 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- 7 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2370151,1403442698] |
[a1,a2,a3,a4,a6] |
Generators |
[5646:69773:8] |
Generators of the group modulo torsion |
j |
439632699649/300000 |
j-invariant |
L |
4.8367402492361 |
L(r)(E,1)/r! |
Ω |
0.27494445370735 |
Real period |
R |
2.9319499411714 |
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 |
54450fo1 3630o1 18150cr1 |
Quadratic twists by: -3 5 -11 |