Atkin-Lehner |
2+ 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
102080o |
Isogeny class |
Conductor |
102080 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
204800 |
Modular degree for the optimal curve |
Δ |
-92510000000000 = -1 · 210 · 510 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 11+ 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8168,365256] |
[a1,a2,a3,a4,a6] |
Generators |
[1962:87000:1] |
Generators of the group modulo torsion |
j |
58853316704256/90341796875 |
j-invariant |
L |
7.583087407056 |
L(r)(E,1)/r! |
Ω |
0.40958368995744 |
Real period |
R |
1.8514134169911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102080bw1 12760a1 |
Quadratic twists by: -4 8 |