Atkin-Lehner |
2+ 3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050w |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2741760 |
Modular degree for the optimal curve |
Δ |
-2.8873397099152E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,318174,-814586132] |
[a1,a2,a3,a4,a6] |
j |
142488471932917109375/11549358839660907672 |
j-invariant |
L |
2.307045810103 |
L(r)(E,1)/r! |
Ω |
0.082394493080899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61050bu1 |
Quadratic twists by: 5 |