Atkin-Lehner |
3+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
128877i |
Isogeny class |
Conductor |
128877 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
707616 |
Modular degree for the optimal curve |
Δ |
-85706821675251 = -1 · 37 · 72 · 17 · 196 |
Discriminant |
Eigenvalues |
2 3+ -3 7- -3 -1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-15282,-847645] |
[a1,a2,a3,a4,a6] |
Generators |
[57935567698:982402488511:170031464] |
Generators of the group modulo torsion |
j |
-8390176768/1821771 |
j-invariant |
L |
7.507743428286 |
L(r)(E,1)/r! |
Ω |
0.21223269917569 |
Real period |
R |
17.68752750622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
357d1 |
Quadratic twists by: -19 |