Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
122400dg |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
-38547187200 = -1 · 29 · 311 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -6 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10875,436610] |
[a1,a2,a3,a4,a6] |
Generators |
[482:81:8] |
Generators of the group modulo torsion |
j |
-15243125000/4131 |
j-invariant |
L |
7.7277798779949 |
L(r)(E,1)/r! |
Ω |
1.125110165549 |
Real period |
R |
1.7171162626034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122400di1 40800l1 122400ca1 |
Quadratic twists by: -4 -3 5 |