Atkin-Lehner |
2- 3- 5- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
42090w |
Isogeny class |
Conductor |
42090 |
Conductor |
∏ cp |
5796 |
Product of Tamagawa factors cp |
deg |
26151552 |
Modular degree for the optimal curve |
Δ |
-4.334147574692E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-43353890,-3169360179900] |
[a1,a2,a3,a4,a6] |
Generators |
[22060:2559910:1] |
Generators of the group modulo torsion |
j |
-9011724925542280341852483361/4334147574692045783040000000 |
j-invariant |
L |
11.007521750107 |
L(r)(E,1)/r! |
Ω |
0.01962761013008 |
Real period |
R |
0.096759530548668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126270o1 |
Quadratic twists by: -3 |