Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300r |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4.7076425650815E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4707908,2137368312] |
[a1,a2,a3,a4,a6] |
Generators |
[-1679:72842:1] |
Generators of the group modulo torsion |
j |
1628514404944/664335375 |
j-invariant |
L |
2.8167283650231 |
L(r)(E,1)/r! |
Ω |
0.12443487058984 |
Real period |
R |
5.6590414561253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108900cu4 7260p4 3300c4 |
Quadratic twists by: -3 5 -11 |