Atkin-Lehner |
2+ 3+ 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22230h |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1094400 |
Modular degree for the optimal curve |
Δ |
-1.0848050176641E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 3 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,648606,1571683508] |
[a1,a2,a3,a4,a6] |
Generators |
[2347:125389:1] |
Generators of the group modulo torsion |
j |
1533115690987867533/55113804687500000 |
j-invariant |
L |
4.9441330955395 |
L(r)(E,1)/r! |
Ω |
0.11717991879244 |
Real period |
R |
1.7580277215619 |
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 |
22230x1 111150dg1 |
Quadratic twists by: -3 5 |