Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70980k |
Isogeny class |
Conductor |
70980 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1572480 |
Modular degree for the optimal curve |
Δ |
-8.0075093961812E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -1 13+ 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,561700,-399065928] |
[a1,a2,a3,a4,a6] |
Generators |
[1164607727614:105478467543662:143055667] |
Generators of the group modulo torsion |
j |
555344816/2268945 |
j-invariant |
L |
6.0490024441837 |
L(r)(E,1)/r! |
Ω |
0.097619879606894 |
Real period |
R |
20.65495425912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70980c1 |
Quadratic twists by: 13 |