Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17400bk |
Isogeny class |
Conductor |
17400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-195750000 = -1 · 24 · 33 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 -1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2208,39213] |
[a1,a2,a3,a4,a6] |
Generators |
[18:75:1] |
Generators of the group modulo torsion |
j |
-4764064000/783 |
j-invariant |
L |
6.1327661433112 |
L(r)(E,1)/r! |
Ω |
1.7314820378209 |
Real period |
R |
0.2951597730226 |
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 |
34800b1 52200p1 696a1 |
Quadratic twists by: -4 -3 5 |