Atkin-Lehner |
2- 3- 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56280ba |
Isogeny class |
Conductor |
56280 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-51333882289200 = -1 · 24 · 35 · 52 · 76 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5635,379358] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:735:1] |
Generators of the group modulo torsion |
j |
-1236979662186496/3208367643075 |
j-invariant |
L |
8.5759831934892 |
L(r)(E,1)/r! |
Ω |
0.55873082509261 |
Real period |
R |
0.25581737538722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000119 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112560i1 |
Quadratic twists by: -4 |