Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31200c |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6.6074188401E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2938008,-1897486488] |
[a1,a2,a3,a4,a6] |
Generators |
[337206145824198466:-20444688611103777475:76020262981928] |
Generators of the group modulo torsion |
j |
350584567631475848/8259273550125 |
j-invariant |
L |
5.3506180189377 |
L(r)(E,1)/r! |
Ω |
0.11548073672376 |
Real period |
R |
23.16671234847 |
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 |
31200p3 62400hk3 93600dn3 6240bf2 |
Quadratic twists by: -4 8 -3 5 |