Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488cq |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
1204224 |
Modular degree for the optimal curve |
Δ |
-36355130695876608 = -1 · 218 · 37 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 11- 0 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,62655,-6886881] |
[a1,a2,a3,a4,a6] |
Generators |
[555:14112:1] |
Generators of the group modulo torsion |
j |
17999471/24057 |
j-invariant |
L |
5.2112988728555 |
L(r)(E,1)/r! |
Ω |
0.19510746792793 |
Real period |
R |
0.31797487382306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999676943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488ex1 1617b1 103488ce1 |
Quadratic twists by: -4 8 -7 |