Atkin-Lehner |
2- 7- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
85358o |
Isogeny class |
Conductor |
85358 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
118800 |
Modular degree for the optimal curve |
Δ |
-219700566176 = -1 · 25 · 76 · 13 · 672 |
Discriminant |
Eigenvalues |
2- 1 -3 7- -4 13+ -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1912,39136] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-140:1] |
Generators of the group modulo torsion |
j |
-6570725617/1867424 |
j-invariant |
L |
7.7383206960772 |
L(r)(E,1)/r! |
Ω |
0.94520110096883 |
Real period |
R |
0.81869569177282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1742a1 |
Quadratic twists by: -7 |