Atkin-Lehner |
3- 5- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
86775y |
Isogeny class |
Conductor |
86775 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
102144 |
Modular degree for the optimal curve |
Δ |
-20559166875 = -1 · 37 · 54 · 132 · 89 |
Discriminant |
Eigenvalues |
-2 3- 5- -2 -4 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3058,64444] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:292:1] [-52:292:1] |
Generators of the group modulo torsion |
j |
-5061720371200/32894667 |
j-invariant |
L |
6.2750833983341 |
L(r)(E,1)/r! |
Ω |
1.2203974032546 |
Real period |
R |
0.12242466853486 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000343 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86775i1 |
Quadratic twists by: 5 |