Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350m |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-3751280417500000000 = -1 · 28 · 510 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11- 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,98250,-92387500] |
[a1,a2,a3,a4,a6] |
j |
3789119879/135520000 |
j-invariant |
L |
1.9149076538204 |
L(r)(E,1)/r! |
Ω |
0.11968172836824 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470bg1 3850u1 |
Quadratic twists by: 5 -11 |