Atkin-Lehner |
2- 3- 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
24426m |
Isogeny class |
Conductor |
24426 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-331133945188075488 = -1 · 25 · 327 · 23 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 3 -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,172795,-1514275] |
[a1,a2,a3,a4,a6] |
Generators |
[13305:524726:125] |
Generators of the group modulo torsion |
j |
782694090431984375/454230377487072 |
j-invariant |
L |
7.0328881215979 |
L(r)(E,1)/r! |
Ω |
0.18056453977936 |
Real period |
R |
1.947472114456 |
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 |
8142c1 |
Quadratic twists by: -3 |