Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70980i |
Isogeny class |
Conductor |
70980 |
Conductor |
∏ cp |
39 |
Product of Tamagawa factors cp |
deg |
4193280 |
Modular degree for the optimal curve |
Δ |
-1.51819565625E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 1 13+ 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60339140,180424471512] |
[a1,a2,a3,a4,a6] |
Generators |
[4429:6500:1] |
Generators of the group modulo torsion |
j |
-3322826709397587470416/2076416015625 |
j-invariant |
L |
5.8886270589976 |
L(r)(E,1)/r! |
Ω |
0.1827137876374 |
Real period |
R |
0.82637681237448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000367 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70980d1 |
Quadratic twists by: 13 |