Atkin-Lehner |
2- 3- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
60258bd |
Isogeny class |
Conductor |
60258 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-5.0459452264153E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15808713,24432065505] |
[a1,a2,a3,a4,a6] |
Generators |
[18342:114831:8] |
Generators of the group modulo torsion |
j |
-246636386136094515625/2848304532790728 |
j-invariant |
L |
11.46995724867 |
L(r)(E,1)/r! |
Ω |
0.13700699415189 |
Real period |
R |
2.3255011581162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000123 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5478e4 |
Quadratic twists by: -11 |