Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
43320i |
Isogeny class |
Conductor |
43320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
270984274560000 = 210 · 32 · 54 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-72320,7467900] |
[a1,a2,a3,a4,a6] |
Generators |
[-215:3610:1] |
Generators of the group modulo torsion |
j |
868327204/5625 |
j-invariant |
L |
4.0796419013189 |
L(r)(E,1)/r! |
Ω |
0.55355492871834 |
Real period |
R |
1.8424738402943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
86640ba4 129960cg4 120a3 |
Quadratic twists by: -4 -3 -19 |