Atkin-Lehner |
2- 3- 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112560cn |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-24785820057600000 = -1 · 228 · 32 · 55 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,41120,-6847372] |
[a1,a2,a3,a4,a6] |
j |
1877208536357279/6051225600000 |
j-invariant |
L |
3.8613837923683 |
L(r)(E,1)/r! |
Ω |
0.1930692166694 |
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 |
14070i1 |
Quadratic twists by: -4 |