Atkin-Lehner |
2- 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98208v |
Isogeny class |
Conductor |
98208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38912 |
Modular degree for the optimal curve |
Δ |
-127277568 = -1 · 29 · 36 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 11+ -4 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1611,24894] |
[a1,a2,a3,a4,a6] |
Generators |
[21:18:1] |
Generators of the group modulo torsion |
j |
-1238833224/341 |
j-invariant |
L |
3.872423513286 |
L(r)(E,1)/r! |
Ω |
1.8116786056669 |
Real period |
R |
0.53436954785659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009811 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98208o1 10912b1 |
Quadratic twists by: -4 -3 |