Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15400n |
Isogeny class |
Conductor |
15400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5390000000000 = 210 · 510 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-287675,-59388250] |
[a1,a2,a3,a4,a6] |
Generators |
[8770:245625:8] |
Generators of the group modulo torsion |
j |
164554625611044/336875 |
j-invariant |
L |
4.4658239217797 |
L(r)(E,1)/r! |
Ω |
0.206145603791 |
Real period |
R |
5.4158612161182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30800h4 123200a4 3080b3 107800by4 |
Quadratic twists by: -4 8 5 -7 |