Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200dt |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1.183222404E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1190008,-471057488] |
[a1,a2,a3,a4,a6] |
Generators |
[-692:4536:1] |
Generators of the group modulo torsion |
j |
2912015927948401/184878500625 |
j-invariant |
L |
4.7439159186682 |
L(r)(E,1)/r! |
Ω |
0.14512332538202 |
Real period |
R |
2.0430536851338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006616 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6825h2 21840ch2 |
Quadratic twists by: -4 5 |