Atkin-Lehner |
2- 3- 7- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
113652r |
Isogeny class |
Conductor |
113652 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
Δ |
-2.510365102877E+26 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,156635025,-108510854762] |
[a1,a2,a3,a4,a6] |
Generators |
[429644133:103385311114:300763] |
Generators of the group modulo torsion |
j |
2277313709888835890750000/1345145909892103774917 |
j-invariant |
L |
7.9812414983448 |
L(r)(E,1)/r! |
Ω |
0.032474981240682 |
Real period |
R |
13.653658541898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010121 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
37884p2 |
Quadratic twists by: -3 |