Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110u |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-382200000 = -1 · 26 · 3 · 55 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -1 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-229,-1648] |
[a1,a2,a3,a4,a6] |
Generators |
[75:598:1] |
Generators of the group modulo torsion |
j |
-26934258841/7800000 |
j-invariant |
L |
4.1048682865434 |
L(r)(E,1)/r! |
Ω |
0.60490361015232 |
Real period |
R |
3.3929937081296 |
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 |
57330ew1 95550hd1 19110d1 |
Quadratic twists by: -3 5 -7 |