Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
4350bb |
Isogeny class |
Conductor |
4350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
75168000 = 28 · 34 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-243,1377] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-21:1] |
Generators of the group modulo torsion |
j |
12698260037/601344 |
j-invariant |
L |
5.8291699999354 |
L(r)(E,1)/r! |
Ω |
1.9149491499049 |
Real period |
R |
0.19025211453477 |
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 |
34800cq1 13050r1 4350h1 126150q1 |
Quadratic twists by: -4 -3 5 29 |