Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400dw |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-3608107200000000 = -1 · 212 · 33 · 58 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -2 -7 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43333,4502963] |
[a1,a2,a3,a4,a6] |
Generators |
[158:1275:1] |
Generators of the group modulo torsion |
j |
-5624320000/2255067 |
j-invariant |
L |
5.5377866769226 |
L(r)(E,1)/r! |
Ω |
0.41645613868337 |
Real period |
R |
0.36937241021017 |
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 |
1275d1 81600hk1 61200gn1 20400bu1 |
Quadratic twists by: -4 8 -3 5 |