Atkin-Lehner |
2- 3- 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
128340m |
Isogeny class |
Conductor |
128340 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-9563896800000 = -1 · 28 · 36 · 55 · 232 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 6 -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7488,-290412] |
[a1,a2,a3,a4,a6] |
Generators |
[171541:71047999:1] |
Generators of the group modulo torsion |
j |
-248801918976/51246875 |
j-invariant |
L |
6.1181439674925 |
L(r)(E,1)/r! |
Ω |
0.25380430434588 |
Real period |
R |
12.052876548262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000117839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14260d1 |
Quadratic twists by: -3 |