Atkin-Lehner |
2- 3- 5+ 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
100890q |
Isogeny class |
Conductor |
100890 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
423641145600 = 28 · 310 · 52 · 19 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-425678,107004381] |
[a1,a2,a3,a4,a6] |
Generators |
[305:2187:1] |
Generators of the group modulo torsion |
j |
11701427432446598041/581126400 |
j-invariant |
L |
10.073191270115 |
L(r)(E,1)/r! |
Ω |
0.70578051661392 |
Real period |
R |
1.7840516679095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007317 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33630c1 |
Quadratic twists by: -3 |