Atkin-Lehner |
2- 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18352i |
Isogeny class |
Conductor |
18352 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
156800 |
Modular degree for the optimal curve |
Δ |
272955566804992 = 212 · 312 · 375 |
Discriminant |
Eigenvalues |
2- 1 -4 -3 3 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-428645,-108157741] |
[a1,a2,a3,a4,a6] |
Generators |
[-10230:1369:27] |
Generators of the group modulo torsion |
j |
2126464142970105856/66639542677 |
j-invariant |
L |
3.665563434204 |
L(r)(E,1)/r! |
Ω |
0.18658462168709 |
Real period |
R |
1.964558172619 |
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 |
1147b1 73408w1 |
Quadratic twists by: -4 8 |