Atkin-Lehner |
2+ 3+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050d |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-8.6441728087718E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ -5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-104067200,-408907476000] |
[a1,a2,a3,a4,a6] |
Generators |
[246799895519862742158573008281241:107702713060430780569832890058460395:1289227089376255146526716139] |
Generators of the group modulo torsion |
j |
-12763367801448383547025/8851632956182368 |
j-invariant |
L |
4.4707923570746 |
L(r)(E,1)/r! |
Ω |
0.023633227057106 |
Real period |
R |
47.293502769127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61050cx2 |
Quadratic twists by: 5 |