Atkin-Lehner |
2+ 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24642b |
Isogeny class |
Conductor |
24642 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
639360 |
Modular degree for the optimal curve |
Δ |
-1106178129464432688 = -1 · 24 · 39 · 378 |
Discriminant |
Eigenvalues |
2+ 3+ -4 3 2 -3 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,256431,7842509] |
[a1,a2,a3,a4,a6] |
Generators |
[5134:367063:1] |
Generators of the group modulo torsion |
j |
26973/16 |
j-invariant |
L |
2.8920177742634 |
L(r)(E,1)/r! |
Ω |
0.16790943748962 |
Real period |
R |
1.4353063460386 |
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 |
24642n1 24642m1 |
Quadratic twists by: -3 37 |