Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400dg |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-165813750000 = -1 · 24 · 33 · 57 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 -3 -2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2158,42563] |
[a1,a2,a3,a4,a6] |
Generators |
[23:75:1] |
Generators of the group modulo torsion |
j |
-4447738624/663255 |
j-invariant |
L |
7.2605806167151 |
L(r)(E,1)/r! |
Ω |
0.98542442176982 |
Real period |
R |
1.2279955141351 |
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 |
5100f1 81600fz1 61200gf1 4080u1 |
Quadratic twists by: -4 8 -3 5 |