Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350bf |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-10375750000000 = -1 · 27 · 59 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- 0 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2492,-161584] |
[a1,a2,a3,a4,a6] |
Generators |
[26467:95829:343] |
Generators of the group modulo torsion |
j |
-7243533/43904 |
j-invariant |
L |
3.7684620768318 |
L(r)(E,1)/r! |
Ω |
0.30206701128353 |
Real period |
R |
6.2377915099338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42350cw1 42350cx1 |
Quadratic twists by: 5 -11 |