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 |
Δ |
349939067031450 = 2 · 38 · 52 · 137 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9960019,-12099519508] |
[a1,a2,a3,a4,a6] |
Generators |
[1158230:103340866:125] |
Generators of the group modulo torsion |
j |
22638311752145721841/72499050 |
j-invariant |
L |
5.2827918974683 |
L(r)(E,1)/r! |
Ω |
0.084983481401065 |
Real period |
R |
7.7703216705082 |
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 |
6630ba3 |
Quadratic twists by: 13 |