Atkin-Lehner |
2- 3- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
70080cm |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-3588096000 = -1 · 217 · 3 · 53 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 4 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-385,-4225] |
[a1,a2,a3,a4,a6] |
j |
-48275138/27375 |
j-invariant |
L |
6.300068772715 |
L(r)(E,1)/r! |
Ω |
0.525005732355 |
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 |
70080l1 17520b1 |
Quadratic twists by: -4 8 |