Atkin-Lehner |
3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
98553bd |
Isogeny class |
Conductor |
98553 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-1508747877 = -1 · 38 · 72 · 13 · 192 |
Discriminant |
Eigenvalues |
1 3- 2 7- -3 13- 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,125,1799] |
[a1,a2,a3,a4,a6] |
Generators |
[31:173:1] |
Generators of the group modulo torsion |
j |
605245247/4179357 |
j-invariant |
L |
11.965415663561 |
L(r)(E,1)/r! |
Ω |
1.0968927273188 |
Real period |
R |
0.68177904645757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98553j1 |
Quadratic twists by: -19 |