Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960i |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-45475603200 = -1 · 28 · 39 · 52 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 -4 -3 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,513,9234] |
[a1,a2,a3,a4,a6] |
Generators |
[63:540:1] |
Generators of the group modulo torsion |
j |
8208/25 |
j-invariant |
L |
7.9629226236424 |
L(r)(E,1)/r! |
Ω |
0.80111026869002 |
Real period |
R |
1.2424822944576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032147 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129960bn1 129960bq1 |
Quadratic twists by: -3 -19 |