Atkin-Lehner |
2+ 3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
35190i |
Isogeny class |
Conductor |
35190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1514814111990000 = 24 · 318 · 54 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-303705,-64317699] |
[a1,a2,a3,a4,a6] |
Generators |
[-317:321:1] |
Generators of the group modulo torsion |
j |
4249646582794408081/2077934310000 |
j-invariant |
L |
2.4444845704813 |
L(r)(E,1)/r! |
Ω |
0.20337578742492 |
Real period |
R |
3.0048864240824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11730s3 |
Quadratic twists by: -3 |