Atkin-Lehner |
2+ 3- 5- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
111690ba |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
9843016320 = 27 · 36 · 5 · 172 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 -3 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7884,-267440] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:32:1] |
Generators of the group modulo torsion |
j |
74347610643649/13502080 |
j-invariant |
L |
2.5753661093983 |
L(r)(E,1)/r! |
Ω |
0.50665817154333 |
Real period |
R |
2.5415222812343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000176692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12410k1 |
Quadratic twists by: -3 |