Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
73200x |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
1.6963173227953E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1435883,-214765512] |
[a1,a2,a3,a4,a6] |
Generators |
[6328:494100:1] |
Generators of the group modulo torsion |
j |
1309607540948125696/678526929118125 |
j-invariant |
L |
8.2965051911538 |
L(r)(E,1)/r! |
Ω |
0.14593398188411 |
Real period |
R |
1.3535972590192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36600a1 14640d1 |
Quadratic twists by: -4 5 |