Atkin-Lehner |
2+ 5+ 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
85850a |
Isogeny class |
Conductor |
85850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-136836851562500 = -1 · 22 · 59 · 17 · 1013 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 0 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-91775,-10754375] |
[a1,a2,a3,a4,a6] |
Generators |
[540:9605:1] |
Generators of the group modulo torsion |
j |
-5471221024697329/8757558500 |
j-invariant |
L |
3.7407093169969 |
L(r)(E,1)/r! |
Ω |
0.13713432630254 |
Real period |
R |
3.4097127852041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999773414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17170k2 |
Quadratic twists by: 5 |