Atkin-Lehner |
2- 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
3444c |
Isogeny class |
Conductor |
3444 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
766080 |
Modular degree for the optimal curve |
Δ |
-1.9875813915251E+25 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 2 1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43977092,-242078256696] |
[a1,a2,a3,a4,a6] |
Generators |
[26842:4232758:1] |
Generators of the group modulo torsion |
j |
-36742041300293123413614928/77639898106449639295461 |
j-invariant |
L |
2.380722209346 |
L(r)(E,1)/r! |
Ω |
0.027485806373028 |
Real period |
R |
4.1245915333895 |
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 |
13776bb1 55104bd1 10332e1 86100bc1 |
Quadratic twists by: -4 8 -3 5 |