Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
12274m |
Isogeny class |
Conductor |
12274 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-14175025188035912 = -1 · 23 · 172 · 1910 |
Discriminant |
Eigenvalues |
2- 0 4 -2 4 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30753,6100409] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:2870:1] |
Generators of the group modulo torsion |
j |
-68367756969/301302152 |
j-invariant |
L |
8.115764097183 |
L(r)(E,1)/r! |
Ω |
0.34452831391057 |
Real period |
R |
3.926026671589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98192l2 110466y2 646a2 |
Quadratic twists by: -4 -3 -19 |