Atkin-Lehner |
2+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
19096b |
Isogeny class |
Conductor |
19096 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8928 |
Modular degree for the optimal curve |
Δ |
-4441003952 = -1 · 24 · 7 · 113 · 313 |
Discriminant |
Eigenvalues |
2+ -1 2 7- 11- 6 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-687,-7412] |
[a1,a2,a3,a4,a6] |
Generators |
[31:11:1] |
Generators of the group modulo torsion |
j |
-2244429395968/277562747 |
j-invariant |
L |
5.2406533583899 |
L(r)(E,1)/r! |
Ω |
0.46300043195877 |
Real period |
R |
1.8864825302714 |
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 |
38192b1 |
Quadratic twists by: -4 |