Atkin-Lehner |
3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18513m |
Isogeny class |
Conductor |
18513 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-496774777487571 = -1 · 36 · 119 · 172 |
Discriminant |
Eigenvalues |
0 3- -3 -2 11- -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,11616,957987] |
[a1,a2,a3,a4,a6] |
Generators |
[495:11313:1] |
Generators of the group modulo torsion |
j |
134217728/384659 |
j-invariant |
L |
2.1643797655837 |
L(r)(E,1)/r! |
Ω |
0.3681110395092 |
Real period |
R |
0.73496157860054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2057e1 1683h1 |
Quadratic twists by: -3 -11 |