Atkin-Lehner |
2+ 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190z |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
8436939701158800 = 24 · 32 · 52 · 1310 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-51549,-877784] |
[a1,a2,a3,a4,a6] |
Generators |
[248:1143:1] |
Generators of the group modulo torsion |
j |
3138428376721/1747933200 |
j-invariant |
L |
5.2827918974683 |
L(r)(E,1)/r! |
Ω |
0.33993392560426 |
Real period |
R |
1.942580417627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000267 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630ba1 |
Quadratic twists by: 13 |