Atkin-Lehner |
2+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129200s |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1437696 |
Modular degree for the optimal curve |
Δ |
-2237775542968750000 = -1 · 24 · 512 · 174 · 193 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 4 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-243883,85691262] |
[a1,a2,a3,a4,a6] |
Generators |
[51306:4096875:8] |
Generators of the group modulo torsion |
j |
-6416970903832576/8951102171875 |
j-invariant |
L |
11.779274271992 |
L(r)(E,1)/r! |
Ω |
0.2338897655423 |
Real period |
R |
4.196875303325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000087894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64600h1 25840k1 |
Quadratic twists by: -4 5 |