Atkin-Lehner |
2+ 3- 5- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
63630s |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1867776 |
Modular degree for the optimal curve |
Δ |
5542247796977445120 = 28 · 36 · 5 · 78 · 1013 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-850659,-279723115] |
[a1,a2,a3,a4,a6] |
j |
93381957744183968049/7602534700929280 |
j-invariant |
L |
1.8961906734728 |
L(r)(E,1)/r! |
Ω |
0.15801588944458 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7070d1 |
Quadratic twists by: -3 |