Atkin-Lehner |
2+ 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111910d |
Isogeny class |
Conductor |
111910 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-58336892440000 = -1 · 26 · 54 · 196 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 2 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23834,1461132] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:1457:1] |
Generators of the group modulo torsion |
j |
-31824875809/1240000 |
j-invariant |
L |
2.8629416746931 |
L(r)(E,1)/r! |
Ω |
0.62119782097487 |
Real period |
R |
1.1521859780585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964445 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
310a1 |
Quadratic twists by: -19 |