Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42840cf |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
2.7437579170312E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7985127,-3452052854] |
[a1,a2,a3,a4,a6] |
Generators |
[-1303:68850:1] |
Generators of the group modulo torsion |
j |
301718334611613181264/147020635986328125 |
j-invariant |
L |
5.2989686556457 |
L(r)(E,1)/r! |
Ω |
0.094336251175762 |
Real period |
R |
0.50152745683659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680ci2 14280m2 |
Quadratic twists by: -4 -3 |