Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160j |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
3024000000 = 210 · 33 · 56 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-528,3848] |
[a1,a2,a3,a4,a6] |
j |
588791808/109375 |
j-invariant |
L |
2.707703397404 |
L(r)(E,1)/r! |
Ω |
1.353851698702 |
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 |
20160cs1 1260d1 20160v3 100800h1 |
Quadratic twists by: -4 8 -3 5 |