Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200bw |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-371498400000000 = -1 · 211 · 36 · 58 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5992,911988] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-1050:1] |
Generators of the group modulo torsion |
j |
743389918/11609325 |
j-invariant |
L |
8.5066327341918 |
L(r)(E,1)/r! |
Ω |
0.39849731518403 |
Real period |
R |
0.8894489787967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015451 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600c2 21840h2 |
Quadratic twists by: -4 5 |