Atkin-Lehner |
2+ 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110d |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
70560 |
Modular degree for the optimal curve |
Δ |
-44965447800000 = -1 · 26 · 3 · 55 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -1 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11197,553981] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:1019:1] |
Generators of the group modulo torsion |
j |
-26934258841/7800000 |
j-invariant |
L |
3.2430999682669 |
L(r)(E,1)/r! |
Ω |
0.60630170435373 |
Real period |
R |
0.17829956851398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57330dn1 95550is1 19110u1 |
Quadratic twists by: -3 5 -7 |