Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3850w |
Isogeny class |
Conductor |
3850 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
298144000000000 = 214 · 59 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11+ -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18930,-556303] |
[a1,a2,a3,a4,a6] |
j |
384082046109/152649728 |
j-invariant |
L |
2.9483603744974 |
L(r)(E,1)/r! |
Ω |
0.42119433921392 |
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 |
30800ci1 123200dl1 34650cg1 3850h1 |
Quadratic twists by: -4 8 -3 5 |