Atkin-Lehner |
2+ 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
24642k |
Isogeny class |
Conductor |
24642 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3717096592637952 = -1 · 225 · 37 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 2 3 -3 -1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35721,-3909875] |
[a1,a2,a3,a4,a6] |
Generators |
[194789:4223780:343] |
Generators of the group modulo torsion |
j |
-136511322949/100663296 |
j-invariant |
L |
5.0598345053609 |
L(r)(E,1)/r! |
Ω |
0.16822025589574 |
Real period |
R |
7.5196570092263 |
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 |
8214i2 24642u2 |
Quadratic twists by: -3 37 |