Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080bw |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
1004040852480 = 210 · 314 · 5 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3432,-60536] |
[a1,a2,a3,a4,a6] |
Generators |
[210:2912:1] |
Generators of the group modulo torsion |
j |
5988775936/1345005 |
j-invariant |
L |
6.0808859326296 |
L(r)(E,1)/r! |
Ω |
0.63377889358883 |
Real period |
R |
4.7973244345124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999803413 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080ey1 14760c1 39360ba1 |
Quadratic twists by: -4 8 -3 |