Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24642o |
Isogeny class |
Conductor |
24642 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-568452649863666798 = -1 · 2 · 37 · 379 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 -3 1 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1823765,949134395] |
[a1,a2,a3,a4,a6] |
Generators |
[10806:241013:8] |
Generators of the group modulo torsion |
j |
-358667682625/303918 |
j-invariant |
L |
7.7575804887423 |
L(r)(E,1)/r! |
Ω |
0.2890798701202 |
Real period |
R |
3.3544278288544 |
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 |
8214d2 666c2 |
Quadratic twists by: -3 37 |