Atkin-Lehner |
3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63075c |
Isogeny class |
Conductor |
63075 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
470514541025390625 = 34 · 510 · 296 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-210688,-17303344] |
[a1,a2,a3,a4,a6] |
Generators |
[-346:3957:1] |
Generators of the group modulo torsion |
j |
111284641/50625 |
j-invariant |
L |
3.3377178132922 |
L(r)(E,1)/r! |
Ω |
0.23262750347024 |
Real period |
R |
1.7934883900408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999998416 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12615f3 75b3 |
Quadratic twists by: 5 29 |