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 |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-2481065000000 = -1 · 26 · 57 · 173 · 101 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 0 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1725,-69875] |
[a1,a2,a3,a4,a6] |
Generators |
[30:85:1] |
Generators of the group modulo torsion |
j |
36297569231/158788160 |
j-invariant |
L |
3.7407093169969 |
L(r)(E,1)/r! |
Ω |
0.41140297890761 |
Real period |
R |
1.1365709284014 |
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 |
17170k1 |
Quadratic twists by: 5 |