Atkin-Lehner |
2+ 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110656j |
Isogeny class |
Conductor |
110656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-5552275456 = -1 · 216 · 73 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ -2 -3 7+ 5 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10977,439039] |
[a1,a2,a3,a4,a6] |
Generators |
[59:16:1] [9:584:1] |
Generators of the group modulo torsion |
j |
-2232206341348/84721 |
j-invariant |
L |
6.9730009017355 |
L(r)(E,1)/r! |
Ω |
1.2684060279364 |
Real period |
R |
1.3743629292191 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000008261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110656bt1 13832c1 |
Quadratic twists by: -4 8 |