Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
31800bb |
Isogeny class |
Conductor |
31800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
133120 |
Modular degree for the optimal curve |
Δ |
695466000000000 = 210 · 38 · 59 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29208,1433088] |
[a1,a2,a3,a4,a6] |
Generators |
[24:864:1] |
Generators of the group modulo torsion |
j |
1377888404/347733 |
j-invariant |
L |
7.6071756553636 |
L(r)(E,1)/r! |
Ω |
0.47694476866039 |
Real period |
R |
1.9937255200246 |
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 |
63600k1 95400n1 31800k1 |
Quadratic twists by: -4 -3 5 |