Atkin-Lehner |
3+ 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
123981f |
Isogeny class |
Conductor |
123981 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1586304 |
Modular degree for the optimal curve |
Δ |
4337650919605325751 = 33 · 116 · 13 · 178 |
Discriminant |
Eigenvalues |
1 3+ -1 -1 11- 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-785363,-248769246] |
[a1,a2,a3,a4,a6] |
Generators |
[-398:1178:1] |
Generators of the group modulo torsion |
j |
7679704613689/621817911 |
j-invariant |
L |
4.1959618177348 |
L(r)(E,1)/r! |
Ω |
0.16119777859109 |
Real period |
R |
4.33831646569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998931558 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123981l1 |
Quadratic twists by: 17 |