Atkin-Lehner |
2+ 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450v |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4007113117312500 = 22 · 310 · 56 · 13 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-74592,7244316] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:3888:1] |
Generators of the group modulo torsion |
j |
4029546653497/351790452 |
j-invariant |
L |
4.7812344958389 |
L(r)(E,1)/r! |
Ω |
0.42892066353605 |
Real period |
R |
0.69669563839138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016345 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33150bw3 3978j4 |
Quadratic twists by: -3 5 |