Atkin-Lehner |
2+ 3- 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
9858c |
Isogeny class |
Conductor |
9858 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-32080455648 = -1 · 25 · 39 · 312 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 -5 5 4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,758,3164] |
[a1,a2,a3,a4,a6] |
Generators |
[16:131:1] |
Generators of the group modulo torsion |
j |
48256373511143/32080455648 |
j-invariant |
L |
3.0718859058216 |
L(r)(E,1)/r! |
Ω |
0.73400076579674 |
Real period |
R |
0.23250701641429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78864l1 29574m1 |
Quadratic twists by: -4 -3 |