Atkin-Lehner |
2- 3+ 7+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
81774bk |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-13298414976 = -1 · 27 · 33 · 72 · 113 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 11- -2 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,271,-5343] |
[a1,a2,a3,a4,a6] |
Generators |
[59:432:1] |
Generators of the group modulo torsion |
j |
81803023821/492533888 |
j-invariant |
L |
7.7075587972373 |
L(r)(E,1)/r! |
Ω |
0.62970428012068 |
Real period |
R |
0.14571387747972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002845 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81774a1 |
Quadratic twists by: -3 |