Atkin-Lehner |
2- 3+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
81498q |
Isogeny class |
Conductor |
81498 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
-251796940590336 = -1 · 28 · 3 · 178 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 2 4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1740,-764691] |
[a1,a2,a3,a4,a6] |
Generators |
[813:22745:1] |
Generators of the group modulo torsion |
j |
-83521/36096 |
j-invariant |
L |
10.710472787665 |
L(r)(E,1)/r! |
Ω |
0.24861262083546 |
Real period |
R |
5.3851212136637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81498s1 |
Quadratic twists by: 17 |