Atkin-Lehner |
5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
34225k |
Isogeny class |
Conductor |
34225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
791453125 = 56 · 373 |
Discriminant |
Eigenvalues |
-2 -1 5+ -3 3 -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-308,-1482] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:12:1] [-12:18:1] |
Generators of the group modulo torsion |
j |
4096 |
j-invariant |
L |
3.3965703986406 |
L(r)(E,1)/r! |
Ω |
1.1596021455211 |
Real period |
R |
0.73227063518325 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1369e1 34225j1 |
Quadratic twists by: 5 37 |