Atkin-Lehner |
2- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75020h |
Isogeny class |
Conductor |
75020 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
2.9261205204687E+22 |
Discriminant |
Eigenvalues |
2- -2 5- 4 11- 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9972860,-8903377100] |
[a1,a2,a3,a4,a6] |
Generators |
[-2045:54250:1] |
Generators of the group modulo torsion |
j |
241872696679049296/64520263671875 |
j-invariant |
L |
6.0075925728204 |
L(r)(E,1)/r! |
Ω |
0.086646936196901 |
Real period |
R |
2.4762200138721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002296 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6820c2 |
Quadratic twists by: -11 |