Atkin-Lehner |
2- 3+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050bn |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
-1.3842975168E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1422713,863737031] |
[a1,a2,a3,a4,a6] |
j |
-20382413355400899529/8859504107520000 |
j-invariant |
L |
2.7578192982625 |
L(r)(E,1)/r! |
Ω |
0.17236370603651 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12210o1 |
Quadratic twists by: 5 |