Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
38700q |
Isogeny class |
Conductor |
38700 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
979200 |
Modular degree for the optimal curve |
Δ |
-5.4254384691919E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -1 -5 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1735500,-948681875] |
[a1,a2,a3,a4,a6] |
Generators |
[15875:1993050:1] |
Generators of the group modulo torsion |
j |
-126879079874560/11907683883 |
j-invariant |
L |
6.8030603837775 |
L(r)(E,1)/r! |
Ω |
0.065418625644888 |
Real period |
R |
3.466423777996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12900n1 38700g1 |
Quadratic twists by: -3 5 |