Atkin-Lehner |
2+ 3+ 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670n |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1300992 |
Modular degree for the optimal curve |
Δ |
-9452428903680000 = -1 · 211 · 3 · 54 · 79 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 3 7 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-235862,44238804] |
[a1,a2,a3,a4,a6] |
Generators |
[363:2391:1] |
Generators of the group modulo torsion |
j |
-35959873851343/234240000 |
j-invariant |
L |
4.8525282500308 |
L(r)(E,1)/r! |
Ω |
0.41173971473989 |
Real period |
R |
1.4731783442635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000426 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89670v1 |
Quadratic twists by: -7 |