Atkin-Lehner |
3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113715bj |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-468896739732421875 = -1 · 36 · 59 · 7 · 196 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 3 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-426702,-112228673] |
[a1,a2,a3,a4,a6] |
Generators |
[31426:1940371:8] |
Generators of the group modulo torsion |
j |
-250523582464/13671875 |
j-invariant |
L |
6.0185334420178 |
L(r)(E,1)/r! |
Ω |
0.093102868037887 |
Real period |
R |
3.5913283546128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999737038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12635a3 315a3 |
Quadratic twists by: -3 -19 |