Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
125840bd |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-6861545799680 = -1 · 226 · 5 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 11- 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4176,-164716] |
[a1,a2,a3,a4,a6] |
Generators |
[27076:21034:343] |
Generators of the group modulo torsion |
j |
-16254134809/13844480 |
j-invariant |
L |
7.6951499026298 |
L(r)(E,1)/r! |
Ω |
0.28665711939021 |
Real period |
R |
6.7111100270667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038402 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15730t1 125840br1 |
Quadratic twists by: -4 -11 |