Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488dm |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-994085604965376 = -1 · 210 · 37 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11+ -3 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2417,-1518441] |
[a1,a2,a3,a4,a6] |
Generators |
[226:3087:1] |
Generators of the group modulo torsion |
j |
-12967168/8251551 |
j-invariant |
L |
4.6594972494881 |
L(r)(E,1)/r! |
Ω |
0.22231649453745 |
Real period |
R |
0.74853022332413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488gs1 12936u1 14784p1 |
Quadratic twists by: -4 8 -7 |