Atkin-Lehner |
2+ 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
6150c |
Isogeny class |
Conductor |
6150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2423003906250000 = 24 · 32 · 512 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -6 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-318900,-69408000] |
[a1,a2,a3,a4,a6] |
Generators |
[-324:348:1] |
Generators of the group modulo torsion |
j |
229545811016693569/155072250000 |
j-invariant |
L |
2.7937379038078 |
L(r)(E,1)/r! |
Ω |
0.20091083500356 |
Real period |
R |
3.4763405166256 |
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 |
49200df3 18450bx3 1230h3 |
Quadratic twists by: -4 -3 5 |