Atkin-Lehner |
2+ 3- 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
44370v |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3760128 |
Modular degree for the optimal curve |
Δ |
-3.8399756841936E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4695444,10210229968] |
[a1,a2,a3,a4,a6] |
Generators |
[9009:-840589:1] |
Generators of the group modulo torsion |
j |
-15704576585970029529409/52674563569184931840 |
j-invariant |
L |
5.4132841494099 |
L(r)(E,1)/r! |
Ω |
0.10102924277593 |
Real period |
R |
6.6976699031192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790n1 |
Quadratic twists by: -3 |