Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200ch |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-25560000000000 = -1 · 212 · 32 · 510 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1992,-241488] |
[a1,a2,a3,a4,a6] |
Generators |
[372:7200:1] |
Generators of the group modulo torsion |
j |
13651919/399375 |
j-invariant |
L |
6.4043049893645 |
L(r)(E,1)/r! |
Ω |
0.32360195444849 |
Real period |
R |
2.4738358724158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004647 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5325j1 17040bd1 |
Quadratic twists by: -4 5 |