Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99372o |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
79468583376 = 24 · 3 · 73 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1577,-19410] |
[a1,a2,a3,a4,a6] |
Generators |
[-7672:12865:512] |
Generators of the group modulo torsion |
j |
16384/3 |
j-invariant |
L |
5.8189384812071 |
L(r)(E,1)/r! |
Ω |
0.76712345582623 |
Real period |
R |
7.5854002347088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067593 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99372bo1 588c1 |
Quadratic twists by: -7 13 |