Atkin-Lehner |
2- 3- 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
99180c |
Isogeny class |
Conductor |
99180 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3939840 |
Modular degree for the optimal curve |
Δ |
-2.9839569617398E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -5 -3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2326407,2245437133] |
[a1,a2,a3,a4,a6] |
Generators |
[43618:3365793:8] |
Generators of the group modulo torsion |
j |
119380471267196597504/255826214140933575 |
j-invariant |
L |
3.7625303517418 |
L(r)(E,1)/r! |
Ω |
0.09884349739047 |
Real period |
R |
2.3790957773781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999988132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33060n1 |
Quadratic twists by: -3 |