Atkin-Lehner |
2+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86632h |
Isogeny class |
Conductor |
86632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
452615468032 = 210 · 76 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 0 -4 7- -2 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13867,-627690] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:6:1] |
Generators of the group modulo torsion |
j |
2447840196/3757 |
j-invariant |
L |
2.9503257293356 |
L(r)(E,1)/r! |
Ω |
0.43999116766864 |
Real period |
R |
3.3527101725075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006858 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1768a2 |
Quadratic twists by: -7 |