Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
85176bl |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1018368 |
Modular degree for the optimal curve |
Δ |
1496164892785984512 = 210 · 39 · 7 · 139 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-296595,20049822] |
[a1,a2,a3,a4,a6] |
Generators |
[-953166522:-20889783225:2406104] |
Generators of the group modulo torsion |
j |
13500/7 |
j-invariant |
L |
6.985500518168 |
L(r)(E,1)/r! |
Ω |
0.23636822601276 |
Real period |
R |
14.776733396452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997172 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85176g1 85176k1 |
Quadratic twists by: -3 13 |