Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
42300be |
Isogeny class |
Conductor |
42300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
37800 |
Modular degree for the optimal curve |
Δ |
-214143750000 = -1 · 24 · 36 · 58 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4125,-104375] |
[a1,a2,a3,a4,a6] |
Generators |
[356684240304:-3077905020931:3042321849] |
Generators of the group modulo torsion |
j |
-1703680/47 |
j-invariant |
L |
5.8278288804613 |
L(r)(E,1)/r! |
Ω |
0.29737670340439 |
Real period |
R |
19.597462792963 |
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 |
4700h1 42300l1 |
Quadratic twists by: -3 5 |