Atkin-Lehner |
5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
88445bq |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-247057768612046875 = -1 · 56 · 72 · 199 |
Discriminant |
Eigenvalues |
0 -2 5- 7- -3 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-48855,24256509] |
[a1,a2,a3,a4,a6] |
Generators |
[-249:4587:1] [671:-17148:1] |
Generators of the group modulo torsion |
j |
-5594251264/107171875 |
j-invariant |
L |
6.0846531117345 |
L(r)(E,1)/r! |
Ω |
0.2626440769592 |
Real period |
R |
0.96528814176976 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997694 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88445d2 4655p2 |
Quadratic twists by: -7 -19 |