Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488fc |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-1218762476661768192 = -1 · 224 · 36 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,241407,27067041] |
[a1,a2,a3,a4,a6] |
Generators |
[405:13824:1] |
Generators of the group modulo torsion |
j |
50447927375/39517632 |
j-invariant |
L |
5.3717588859857 |
L(r)(E,1)/r! |
Ω |
0.17553760294312 |
Real period |
R |
1.9126097404867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034653 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488dp1 25872ct1 14784cc1 |
Quadratic twists by: -4 8 -7 |