Atkin-Lehner |
2+ 3- 7+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98154l |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-169147415614464 = -1 · 210 · 313 · 7 · 192 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 0 -3 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46170,-3857868] |
[a1,a2,a3,a4,a6] |
Generators |
[324:3726:1] |
Generators of the group modulo torsion |
j |
-14930731945775521/232026633216 |
j-invariant |
L |
3.5170924212349 |
L(r)(E,1)/r! |
Ω |
0.16269647120606 |
Real period |
R |
1.3510943050782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028403 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32718i1 |
Quadratic twists by: -3 |