Atkin-Lehner |
2+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129200t |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
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 |
[1425207:16812125:9261] |
Generators of the group modulo torsion |
j |
-3074301184/40375 |
j-invariant |
L |
12.210833448996 |
L(r)(E,1)/r! |
Ω |
0.36088313992162 |
Real period |
R |
8.4589941014946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64600x1 25840b1 |
Quadratic twists by: -4 5 |