Atkin-Lehner |
2- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
103600bk |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-1533280000000000 = -1 · 214 · 510 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 4 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,26592,-882688] |
[a1,a2,a3,a4,a6] |
Generators |
[81552:4487696:27] |
Generators of the group modulo torsion |
j |
32492296871/23957500 |
j-invariant |
L |
9.085662645724 |
L(r)(E,1)/r! |
Ω |
0.26714430249665 |
Real period |
R |
8.5025794500568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021234 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12950o1 20720l1 |
Quadratic twists by: -4 5 |