Atkin-Lehner |
2- 3+ 41- 73- |
Signs for the Atkin-Lehner involutions |
Class |
17958j |
Isogeny class |
Conductor |
17958 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
18529042563072 = 224 · 32 · 412 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24374,1439795] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:1231:1] [-145:1469:1] |
Generators of the group modulo torsion |
j |
1601419992853486177/18529042563072 |
j-invariant |
L |
7.9755369042123 |
L(r)(E,1)/r! |
Ω |
0.6912073964205 |
Real period |
R |
1.9230930652447 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53874a1 |
Quadratic twists by: -3 |