Atkin-Lehner |
2+ 3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
103320t |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
2.7946103241608E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-355959147,-461350486186] |
[a1,a2,a3,a4,a6] |
Generators |
[-1577:309960:1] |
Generators of the group modulo torsion |
j |
6681849651105959122706596/3743637372686285038125 |
j-invariant |
L |
7.000085210477 |
L(r)(E,1)/r! |
Ω |
0.037355409929252 |
Real period |
R |
1.9519944802602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039229 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440q3 |
Quadratic twists by: -3 |