Atkin-Lehner |
2+ 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
85162l |
Isogeny class |
Conductor |
85162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-16972565689772 = -1 · 22 · 79 · 113 · 79 |
Discriminant |
Eigenvalues |
2+ -3 2 7- 11+ 7 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5056,243004] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-358:1] |
Generators of the group modulo torsion |
j |
-121508031177/144264428 |
j-invariant |
L |
3.5363448640639 |
L(r)(E,1)/r! |
Ω |
0.62801572511325 |
Real period |
R |
0.70387267427462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12166c1 |
Quadratic twists by: -7 |