Atkin-Lehner |
2+ 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98838p |
Isogeny class |
Conductor |
98838 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
69760518179640102 = 2 · 36 · 178 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 0 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-190297017,1010453966383] |
[a1,a2,a3,a4,a6] |
Generators |
[8007:2542:1] |
Generators of the group modulo torsion |
j |
43311038625059640625/3964502 |
j-invariant |
L |
4.3921714773875 |
L(r)(E,1)/r! |
Ω |
0.19422360547491 |
Real period |
R |
3.7689990134306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029298 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10982g4 5814e4 |
Quadratic twists by: -3 17 |