Atkin-Lehner |
2- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19550bg |
Isogeny class |
Conductor |
19550 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
466560 |
Modular degree for the optimal curve |
Δ |
-3231859375000000000 = -1 · 29 · 515 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -6 1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1687,-86492969] |
[a1,a2,a3,a4,a6] |
Generators |
[1355:48372:1] |
Generators of the group modulo torsion |
j |
33980740919/206839000000000 |
j-invariant |
L |
9.822822416792 |
L(r)(E,1)/r! |
Ω |
0.11558943293026 |
Real period |
R |
4.7211266865346 |
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 |
3910f1 |
Quadratic twists by: 5 |