Atkin-Lehner |
2+ 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190z |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
47738601119722500 = 22 · 34 · 54 · 138 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-622769,-188923408] |
[a1,a2,a3,a4,a6] |
Generators |
[-466:615:1] |
Generators of the group modulo torsion |
j |
5534056064805841/9890302500 |
j-invariant |
L |
5.2827918974683 |
L(r)(E,1)/r! |
Ω |
0.16996696280213 |
Real period |
R |
3.8851608352541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000267 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6630ba2 |
Quadratic twists by: 13 |