Atkin-Lehner |
2- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
64600x |
Isogeny class |
Conductor |
64600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-10093750000 = -1 · 24 · 59 · 17 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 -2 1 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1908,31813] |
[a1,a2,a3,a4,a6] |
Generators |
[38:125:1] |
Generators of the group modulo torsion |
j |
-3074301184/40375 |
j-invariant |
L |
3.4578933052643 |
L(r)(E,1)/r! |
Ω |
1.2923253289238 |
Real period |
R |
0.3344642819402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996854 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129200t1 12920a1 |
Quadratic twists by: -4 5 |