Atkin-Lehner |
2- 3- 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
110838cj |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-33003458791849728 = -1 · 28 · 33 · 78 · 134 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4999,-8742007] |
[a1,a2,a3,a4,a6] |
Generators |
[242:1937:1] |
Generators of the group modulo torsion |
j |
-117433042273/280524771072 |
j-invariant |
L |
10.241450020505 |
L(r)(E,1)/r! |
Ω |
0.16717239727091 |
Real period |
R |
1.2763084423751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005855 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15834n1 |
Quadratic twists by: -7 |