Atkin-Lehner |
3- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
67155t |
Isogeny class |
Conductor |
67155 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
8.6629864186815E+25 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8988974448,328028770369903] |
[a1,a2,a3,a4,a6] |
Generators |
[5739022:-4823255415:8] |
Generators of the group modulo torsion |
j |
45341725024837641329172035281/48900299897556421875 |
j-invariant |
L |
9.906669522096 |
L(r)(E,1)/r! |
Ω |
0.050952330496946 |
Real period |
R |
4.0506282316016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6105j5 |
Quadratic twists by: -11 |