Atkin-Lehner |
2- 3- 5- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
98490bx |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
1620 |
Product of Tamagawa factors cp |
deg |
3628800 |
Modular degree for the optimal curve |
Δ |
-7.7271866332287E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,20530,-422927100] |
[a1,a2,a3,a4,a6] |
Generators |
[820:11650:1] |
Generators of the group modulo torsion |
j |
165998788319/13404082176000 |
j-invariant |
L |
14.665687878435 |
L(r)(E,1)/r! |
Ω |
0.088975951474953 |
Real period |
R |
0.9157085968752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001084 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
98490bg1 |
Quadratic twists by: -7 |