Atkin-Lehner |
2+ 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190d |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
19693380720 = 24 · 3 · 5 · 136 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3677443,2712825757] |
[a1,a2,a3,a4,a6] |
Generators |
[1107:-539:1] [3177:150427:1] |
Generators of the group modulo torsion |
j |
1139466686381936641/4080 |
j-invariant |
L |
6.3528280073384 |
L(r)(E,1)/r! |
Ω |
0.57716199962577 |
Real period |
R |
11.007010183664 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997381 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
510e4 |
Quadratic twists by: 13 |