Atkin-Lehner |
3- 7- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
98049z |
Isogeny class |
Conductor |
98049 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
5750784 |
Modular degree for the optimal curve |
Δ |
-1.046594622821E+21 |
Discriminant |
Eigenvalues |
2 3- 0 7- 1 -6 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1872862,1204554341] |
[a1,a2,a3,a4,a6] |
Generators |
[17978:1035905:8] |
Generators of the group modulo torsion |
j |
6175221985401344000/8895907511504307 |
j-invariant |
L |
16.034620920095 |
L(r)(E,1)/r! |
Ω |
0.10538097064702 |
Real period |
R |
1.4630634553289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14007d1 |
Quadratic twists by: -7 |