Atkin-Lehner |
2- 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
70800bs |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-1416000000000 = -1 · 212 · 3 · 59 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -2 -3 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1208,-59088] |
[a1,a2,a3,a4,a6] |
Generators |
[442:9250:1] |
Generators of the group modulo torsion |
j |
-24389/177 |
j-invariant |
L |
4.3639182594344 |
L(r)(E,1)/r! |
Ω |
0.3585939281869 |
Real period |
R |
3.0423815882334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000829 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4425m1 70800cy1 |
Quadratic twists by: -4 5 |