Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400dl |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5.821875E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20969633,4282588863] |
[a1,a2,a3,a4,a6] |
Generators |
[66151097:7225844808:4913] |
Generators of the group modulo torsion |
j |
497927680189263938/284271240234375 |
j-invariant |
L |
8.6887357288271 |
L(r)(E,1)/r! |
Ω |
0.078760279759588 |
Real period |
R |
13.78984390694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019812 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400fi3 13800c4 22080m3 |
Quadratic twists by: -4 8 5 |