Atkin-Lehner |
2+ 3+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55650c |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-3741238200 = -1 · 23 · 3 · 52 · 76 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 3 -2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-611655,-184378035] |
[a1,a2,a3,a4,a6] |
Generators |
[1318722511357173:1248479405829247:1459431770607] |
Generators of the group modulo torsion |
j |
-1012288734232101794785/149649528 |
j-invariant |
L |
3.9206171931424 |
L(r)(E,1)/r! |
Ω |
0.08535772548683 |
Real period |
R |
22.96580169388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55650dp2 |
Quadratic twists by: 5 |