Atkin-Lehner |
2+ 5+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
81070i |
Isogeny class |
Conductor |
81070 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2361600 |
Modular degree for the optimal curve |
Δ |
-66155169905618750 = -1 · 2 · 55 · 119 · 672 |
Discriminant |
Eigenvalues |
2+ 3 5+ -1 11- 0 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1112920,-451793050] |
[a1,a2,a3,a4,a6] |
Generators |
[27365553069:5563080330584:658503] |
Generators of the group modulo torsion |
j |
-86051741101013169/37342868750 |
j-invariant |
L |
7.8093136614713 |
L(r)(E,1)/r! |
Ω |
0.073492369369651 |
Real period |
R |
13.282524649246 |
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 |
7370g1 |
Quadratic twists by: -11 |