Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
103200c |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
665640000000 = 29 · 32 · 57 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2408,-22188] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:150:1] |
Generators of the group modulo torsion |
j |
193100552/83205 |
j-invariant |
L |
3.9574486693446 |
L(r)(E,1)/r! |
Ω |
0.70865554429677 |
Real period |
R |
0.69805575891934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103200z2 20640w2 |
Quadratic twists by: -4 5 |