Atkin-Lehner |
2- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
9898d |
Isogeny class |
Conductor |
9898 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-15892545536 = -1 · 216 · 74 · 101 |
Discriminant |
Eigenvalues |
2- -3 -3 7+ -4 -1 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1749,29229] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-138:1] [-17:240:1] |
Generators of the group modulo torsion |
j |
-246302130753/6619136 |
j-invariant |
L |
4.8887251574309 |
L(r)(E,1)/r! |
Ω |
1.2369689278449 |
Real period |
R |
0.082337105231306 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79184q1 89082j1 9898j1 |
Quadratic twists by: -4 -3 -7 |