Atkin-Lehner |
2- 3+ 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
103350bj |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
Δ |
24609536640000000 = 213 · 34 · 57 · 132 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -6 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5464563,-4919056719] |
[a1,a2,a3,a4,a6] |
Generators |
[-1349:710:1] |
Generators of the group modulo torsion |
j |
1154968135934386936681/1575010344960 |
j-invariant |
L |
9.7092635853894 |
L(r)(E,1)/r! |
Ω |
0.098744003298321 |
Real period |
R |
1.8909159213473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999698454 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20670o2 |
Quadratic twists by: 5 |