Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70980n |
Isogeny class |
Conductor |
70980 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-548171044512000 = -1 · 28 · 3 · 53 · 7 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -5 13+ -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53460,-4871400] |
[a1,a2,a3,a4,a6] |
Generators |
[16385:2097070:1] |
Generators of the group modulo torsion |
j |
-80915536/2625 |
j-invariant |
L |
4.0609969918164 |
L(r)(E,1)/r! |
Ω |
0.1566870639972 |
Real period |
R |
8.6392943316134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70980g1 |
Quadratic twists by: 13 |