Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920dl |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-87663280320 = -1 · 26 · 35 · 5 · 7 · 115 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ 0 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-525,14805] |
[a1,a2,a3,a4,a6] |
j |
-250523582464/1369738755 |
j-invariant |
L |
4.6536136337643 |
L(r)(E,1)/r! |
Ω |
0.93072272952589 |
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 |
73920fm1 1155d1 |
Quadratic twists by: -4 8 |