Atkin-Lehner |
2- 3- 5- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
73530bi |
Isogeny class |
Conductor |
73530 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
deg |
1996800 |
Modular degree for the optimal curve |
Δ |
-6264630496953630720 = -1 · 226 · 312 · 5 · 19 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-630617,-227118279] |
[a1,a2,a3,a4,a6] |
Generators |
[1319:34476:1] |
Generators of the group modulo torsion |
j |
-38044559559390506569/8593457471815680 |
j-invariant |
L |
12.395404924916 |
L(r)(E,1)/r! |
Ω |
0.083702637975419 |
Real period |
R |
2.8478573366273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991457 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24510a1 |
Quadratic twists by: -3 |