Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
3870c |
Isogeny class |
Conductor |
3870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
338547600 = 24 · 39 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-204,-640] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:19:1] |
Generators of the group modulo torsion |
j |
47832147/17200 |
j-invariant |
L |
2.7846735105453 |
L(r)(E,1)/r! |
Ω |
1.3007097334328 |
Real period |
R |
1.0704438657486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30960x1 123840a1 3870l1 19350bo1 |
Quadratic twists by: -4 8 -3 5 |