Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69600a |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3758400000000 = -1 · 212 · 34 · 58 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 4 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2367,-82863] |
[a1,a2,a3,a4,a6] |
Generators |
[72:675:1] |
Generators of the group modulo torsion |
j |
22906304/58725 |
j-invariant |
L |
6.3489927588306 |
L(r)(E,1)/r! |
Ω |
0.40549154027935 |
Real period |
R |
1.9571902639173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000149 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69600r2 13920bd2 |
Quadratic twists by: -4 5 |