Atkin-Lehner |
2+ 3- 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
24426f |
Isogeny class |
Conductor |
24426 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
1834367944200192 = 212 · 315 · 232 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-213327,-37814931] |
[a1,a2,a3,a4,a6] |
j |
1472769585318768625/2516279758848 |
j-invariant |
L |
0.44433709065984 |
L(r)(E,1)/r! |
Ω |
0.22216854532992 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8142f1 |
Quadratic twists by: -3 |