Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
72324h |
Isogeny class |
Conductor |
72324 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-408501405076794624 = -1 · 28 · 39 · 711 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 2 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,19257,30733486] |
[a1,a2,a3,a4,a6] |
j |
35969456/18605349 |
j-invariant |
L |
1.8630341280149 |
L(r)(E,1)/r! |
Ω |
0.23287926511673 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24108l1 10332h1 |
Quadratic twists by: -3 -7 |