Atkin-Lehner |
2+ 3- 7+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98154n |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1761952245984 = 25 · 312 · 7 · 192 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -2 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-440928,-112583520] |
[a1,a2,a3,a4,a6] |
Generators |
[-383:192:1] |
Generators of the group modulo torsion |
j |
13004683085285402113/2416944096 |
j-invariant |
L |
4.1980157587606 |
L(r)(E,1)/r! |
Ω |
0.18527106318521 |
Real period |
R |
2.832347166202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.999999992783 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32718k2 |
Quadratic twists by: -3 |