Atkin-Lehner |
2+ 3- 7+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112518g |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
41133315752676 = 22 · 36 · 72 · 194 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22461,-1252783] |
[a1,a2,a3,a4,a6] |
Generators |
[-634:1577:8] |
Generators of the group modulo torsion |
j |
1719073016770257/56424301444 |
j-invariant |
L |
5.733880057561 |
L(r)(E,1)/r! |
Ω |
0.39076440877446 |
Real period |
R |
3.6683740324741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030883 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12502c2 |
Quadratic twists by: -3 |